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authorGravatar Jason Gross <jgross@mit.edu>2017-03-30 16:38:15 -0400
committerGravatar Jason Gross <jgross@mit.edu>2017-03-30 16:38:41 -0400
commit7d70da13d3d44c6eed92dfd490138d7a05120208 (patch)
treea5e7dd19b4cbee7be87fc7fbae3190b81b18bb2f /src/Reflection
parent01874b3bfe5d9788d7c3dfd2432993e99c4595da (diff)
Revert "Update CNotations, JavaNotations"
This reverts commit 16d3eb50638fc280b790aff9cdaa6d28cbb42c8a. I forgot that I hadn't merged the changes to Z.Syntax.op yet.
Diffstat (limited to 'src/Reflection')
-rw-r--r--src/Reflection/Z/CNotations.v894
-rw-r--r--src/Reflection/Z/JavaNotations.v869
2 files changed, 250 insertions, 1513 deletions
diff --git a/src/Reflection/Z/CNotations.v b/src/Reflection/Z/CNotations.v
index 74b945222..0b3bfa161 100644
--- a/src/Reflection/Z/CNotations.v
+++ b/src/Reflection/Z/CNotations.v
@@ -4,768 +4,152 @@ Require Export Crypto.Reflection.Z.HexNotationConstants.
Require Export Crypto.Util.Notations.
Reserved Notation "T x = A ; b" (at level 200, b at level 200, format "T x = A ; '//' b").
+Reserved Notation "'(bool)' x" (at level 200, x at level 9).
+Reserved Notation "'(uint8_t)' x" (at level 200, x at level 9).
+Reserved Notation "'(uint16_t)' x" (at level 200, x at level 9).
+Reserved Notation "'(uint32_t)' x" (at level 200, x at level 9).
+Reserved Notation "'(uint64_t)' x" (at level 200, x at level 9).
+Reserved Notation "'(uint128_t)' x" (at level 200, x at level 9).
Reserved Notation "x & y" (at level 40).
Global Open Scope expr_scope.
Notation "T x = A ; b" := (LetIn (tx:=T) A (fun x => b)) : expr_scope.
-(* python:
-<<
-types = ('bool', 'uint8_t', 'uint8_t', 'uint8_t', 'uint16_t', 'uint32_t', 'uint64_t', 'uint128_t')
-for lgwordsz in range(0, len(types)):
- print('Notation "\'%s\'" := (Tbase (TWord %d)).' % (types[lgwordsz], lgwordsz))
-print('')
-cast_pat = "'(%s)' %s"
-for opn, op, lvl in (('*', 'Mul', 40), ('+', 'Add', 50), ('-', 'Sub', 50), ('&', 'Land', 40), ('<<', 'Shl', 30)):
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "x %s y" := (Op (%s _ _ _) (Pair %s %s)).' % (opn, op, lhs, rhs))
- for lgwordsz in range(0, len(types)):
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "%s %s %s" := (Op (%s (TWord _) (TWord _) (TWord %d)) (Pair %s %s)) (at level %d).'
- % (cast_pat % (types[lgwordsz], 'x'), opn, cast_pat % (types[lgwordsz], 'y'),
- op, lgwordsz, lhs, rhs, lvl))
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "%s %s %s" := (Op (%s (TWord %d) (TWord _) (TWord %d)) (Pair %s %s)) (at level %d).'
- % ('x', opn, cast_pat % (types[lgwordsz], 'y'),
- op, lgwordsz, lgwordsz, lhs, rhs, lvl))
- print('Notation "%s %s %s" := (Op (%s (TWord _) (TWord %d) (TWord %d)) (Pair %s %s)) (at level %d).'
- % (cast_pat % (types[lgwordsz], 'x'), opn, 'y',
- op, lgwordsz, lgwordsz, lhs, rhs, lvl))
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "x %s y" := (Op (%s (TWord %d) (TWord %d) (TWord %d)) (Pair %s %s)).'
- % (opn, op, lgwordsz, lgwordsz, lgwordsz, lhs, rhs))
-for opn, op, lvl in (('>>', 'Shr', 30),):
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "x %s y" := (Op (%s _ _ _) (Pair %s %s)).' % (opn, op, lhs, rhs))
- for lgwordsz in range(0, len(types)):
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "\'(%s)\' ( x %s y )" := (Op (%s (TWord _) (TWord _) (TWord %d)) (Pair %s %s)) (at level %d).'
- % (types[lgwordsz], opn, op, lgwordsz, lhs, rhs, lvl))
-print('Notation Return x := (Var x).')
-print('Notation C_like := (Expr base_type op _).')
->> *)
-Notation "'bool'" := (Tbase (TWord 0)).
+(*Notation uint32_t := (_ (TWord 5)).
+Notation uint64_t := (_ (TWord 6)).
+Notation uint128_t := (_ (TWord 7)).*)
+Notation bool := (Tbase (TWord 0)).
Notation "'uint8_t'" := (Tbase (TWord 1)).
Notation "'uint8_t'" := (Tbase (TWord 2)).
Notation "'uint8_t'" := (Tbase (TWord 3)).
-Notation "'uint16_t'" := (Tbase (TWord 4)).
-Notation "'uint32_t'" := (Tbase (TWord 5)).
-Notation "'uint64_t'" := (Tbase (TWord 6)).
-Notation "'uint128_t'" := (Tbase (TWord 7)).
-
-Notation "x * y" := (Op (Mul _ _ _) (Pair x y)).
-Notation "x * y" := (Op (Mul _ _ _) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul _ _ _) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul _ _ _) (Pair (Var x) (Var y))).
-Notation "'(bool)' x * '(bool)' y" := (Op (Mul (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 40).
-Notation "'(bool)' x * '(bool)' y" := (Op (Mul (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "'(bool)' x * '(bool)' y" := (Op (Mul (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "'(bool)' x * '(bool)' y" := (Op (Mul (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(bool)' y" := (Op (Mul (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 40).
-Notation "'(bool)' x * y" := (Op (Mul (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 40).
-Notation "x * '(bool)' y" := (Op (Mul (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "'(bool)' x * y" := (Op (Mul (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "x * '(bool)' y" := (Op (Mul (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "'(bool)' x * y" := (Op (Mul (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(bool)' y" := (Op (Mul (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(bool)' x * y" := (Op (Mul (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x * '(uint8_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(uint8_t)' y" := (Op (Mul (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint8_t)' x * y" := (Op (Mul (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(uint16_t)' x * '(uint16_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 40).
-Notation "'(uint16_t)' x * '(uint16_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "'(uint16_t)' x * '(uint16_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint16_t)' x * '(uint16_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(uint16_t)' y" := (Op (Mul (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 40).
-Notation "'(uint16_t)' x * y" := (Op (Mul (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 40).
-Notation "x * '(uint16_t)' y" := (Op (Mul (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "'(uint16_t)' x * y" := (Op (Mul (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "x * '(uint16_t)' y" := (Op (Mul (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint16_t)' x * y" := (Op (Mul (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(uint16_t)' y" := (Op (Mul (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint16_t)' x * y" := (Op (Mul (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(uint32_t)' x * '(uint32_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 40).
-Notation "'(uint32_t)' x * '(uint32_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "'(uint32_t)' x * '(uint32_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint32_t)' x * '(uint32_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(uint32_t)' y" := (Op (Mul (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 40).
-Notation "'(uint32_t)' x * y" := (Op (Mul (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 40).
-Notation "x * '(uint32_t)' y" := (Op (Mul (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "'(uint32_t)' x * y" := (Op (Mul (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "x * '(uint32_t)' y" := (Op (Mul (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint32_t)' x * y" := (Op (Mul (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(uint32_t)' y" := (Op (Mul (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint32_t)' x * y" := (Op (Mul (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(uint64_t)' x * '(uint64_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 40).
-Notation "'(uint64_t)' x * '(uint64_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "'(uint64_t)' x * '(uint64_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint64_t)' x * '(uint64_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(uint64_t)' y" := (Op (Mul (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 40).
-Notation "'(uint64_t)' x * y" := (Op (Mul (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 40).
-Notation "x * '(uint64_t)' y" := (Op (Mul (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "'(uint64_t)' x * y" := (Op (Mul (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "x * '(uint64_t)' y" := (Op (Mul (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint64_t)' x * y" := (Op (Mul (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(uint64_t)' y" := (Op (Mul (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint64_t)' x * y" := (Op (Mul (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x * '(uint128_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 40).
-Notation "'(uint128_t)' x * '(uint128_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "'(uint128_t)' x * '(uint128_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint128_t)' x * '(uint128_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(uint128_t)' y" := (Op (Mul (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 40).
-Notation "'(uint128_t)' x * y" := (Op (Mul (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 40).
-Notation "x * '(uint128_t)' y" := (Op (Mul (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "'(uint128_t)' x * y" := (Op (Mul (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "x * '(uint128_t)' y" := (Op (Mul (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint128_t)' x * y" := (Op (Mul (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(uint128_t)' y" := (Op (Mul (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint128_t)' x * y" := (Op (Mul (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x + y" := (Op (Add _ _ _) (Pair x y)).
-Notation "x + y" := (Op (Add _ _ _) (Pair x (Var y))).
-Notation "x + y" := (Op (Add _ _ _) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add _ _ _) (Pair (Var x) (Var y))).
-Notation "'(bool)' x + '(bool)' y" := (Op (Add (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 50).
-Notation "'(bool)' x + '(bool)' y" := (Op (Add (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "'(bool)' x + '(bool)' y" := (Op (Add (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "'(bool)' x + '(bool)' y" := (Op (Add (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(bool)' y" := (Op (Add (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 50).
-Notation "'(bool)' x + y" := (Op (Add (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 50).
-Notation "x + '(bool)' y" := (Op (Add (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "'(bool)' x + y" := (Op (Add (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "x + '(bool)' y" := (Op (Add (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "'(bool)' x + y" := (Op (Add (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(bool)' y" := (Op (Add (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(bool)' x + y" := (Op (Add (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x + '(uint8_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(uint8_t)' y" := (Op (Add (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint8_t)' x + y" := (Op (Add (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(uint16_t)' x + '(uint16_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 50).
-Notation "'(uint16_t)' x + '(uint16_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "'(uint16_t)' x + '(uint16_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint16_t)' x + '(uint16_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(uint16_t)' y" := (Op (Add (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 50).
-Notation "'(uint16_t)' x + y" := (Op (Add (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 50).
-Notation "x + '(uint16_t)' y" := (Op (Add (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "'(uint16_t)' x + y" := (Op (Add (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "x + '(uint16_t)' y" := (Op (Add (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint16_t)' x + y" := (Op (Add (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(uint16_t)' y" := (Op (Add (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint16_t)' x + y" := (Op (Add (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(uint32_t)' x + '(uint32_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 50).
-Notation "'(uint32_t)' x + '(uint32_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "'(uint32_t)' x + '(uint32_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint32_t)' x + '(uint32_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(uint32_t)' y" := (Op (Add (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 50).
-Notation "'(uint32_t)' x + y" := (Op (Add (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 50).
-Notation "x + '(uint32_t)' y" := (Op (Add (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "'(uint32_t)' x + y" := (Op (Add (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "x + '(uint32_t)' y" := (Op (Add (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint32_t)' x + y" := (Op (Add (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(uint32_t)' y" := (Op (Add (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint32_t)' x + y" := (Op (Add (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(uint64_t)' x + '(uint64_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 50).
-Notation "'(uint64_t)' x + '(uint64_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "'(uint64_t)' x + '(uint64_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint64_t)' x + '(uint64_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(uint64_t)' y" := (Op (Add (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 50).
-Notation "'(uint64_t)' x + y" := (Op (Add (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 50).
-Notation "x + '(uint64_t)' y" := (Op (Add (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "'(uint64_t)' x + y" := (Op (Add (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "x + '(uint64_t)' y" := (Op (Add (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint64_t)' x + y" := (Op (Add (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(uint64_t)' y" := (Op (Add (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint64_t)' x + y" := (Op (Add (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x + '(uint128_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 50).
-Notation "'(uint128_t)' x + '(uint128_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "'(uint128_t)' x + '(uint128_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint128_t)' x + '(uint128_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(uint128_t)' y" := (Op (Add (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 50).
-Notation "'(uint128_t)' x + y" := (Op (Add (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 50).
-Notation "x + '(uint128_t)' y" := (Op (Add (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "'(uint128_t)' x + y" := (Op (Add (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "x + '(uint128_t)' y" := (Op (Add (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint128_t)' x + y" := (Op (Add (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(uint128_t)' y" := (Op (Add (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint128_t)' x + y" := (Op (Add (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x - y" := (Op (Sub _ _ _) (Pair x y)).
-Notation "x - y" := (Op (Sub _ _ _) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub _ _ _) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub _ _ _) (Pair (Var x) (Var y))).
-Notation "'(bool)' x - '(bool)' y" := (Op (Sub (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 50).
-Notation "'(bool)' x - '(bool)' y" := (Op (Sub (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "'(bool)' x - '(bool)' y" := (Op (Sub (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "'(bool)' x - '(bool)' y" := (Op (Sub (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(bool)' y" := (Op (Sub (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 50).
-Notation "'(bool)' x - y" := (Op (Sub (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 50).
-Notation "x - '(bool)' y" := (Op (Sub (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "'(bool)' x - y" := (Op (Sub (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "x - '(bool)' y" := (Op (Sub (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "'(bool)' x - y" := (Op (Sub (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(bool)' y" := (Op (Sub (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(bool)' x - y" := (Op (Sub (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x - '(uint8_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(uint8_t)' y" := (Op (Sub (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint8_t)' x - y" := (Op (Sub (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(uint16_t)' x - '(uint16_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 50).
-Notation "'(uint16_t)' x - '(uint16_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "'(uint16_t)' x - '(uint16_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint16_t)' x - '(uint16_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(uint16_t)' y" := (Op (Sub (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 50).
-Notation "'(uint16_t)' x - y" := (Op (Sub (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 50).
-Notation "x - '(uint16_t)' y" := (Op (Sub (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "'(uint16_t)' x - y" := (Op (Sub (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "x - '(uint16_t)' y" := (Op (Sub (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint16_t)' x - y" := (Op (Sub (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(uint16_t)' y" := (Op (Sub (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint16_t)' x - y" := (Op (Sub (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(uint32_t)' x - '(uint32_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 50).
-Notation "'(uint32_t)' x - '(uint32_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "'(uint32_t)' x - '(uint32_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint32_t)' x - '(uint32_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(uint32_t)' y" := (Op (Sub (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 50).
-Notation "'(uint32_t)' x - y" := (Op (Sub (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 50).
-Notation "x - '(uint32_t)' y" := (Op (Sub (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "'(uint32_t)' x - y" := (Op (Sub (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "x - '(uint32_t)' y" := (Op (Sub (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint32_t)' x - y" := (Op (Sub (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(uint32_t)' y" := (Op (Sub (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint32_t)' x - y" := (Op (Sub (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(uint64_t)' x - '(uint64_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 50).
-Notation "'(uint64_t)' x - '(uint64_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "'(uint64_t)' x - '(uint64_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint64_t)' x - '(uint64_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(uint64_t)' y" := (Op (Sub (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 50).
-Notation "'(uint64_t)' x - y" := (Op (Sub (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 50).
-Notation "x - '(uint64_t)' y" := (Op (Sub (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "'(uint64_t)' x - y" := (Op (Sub (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "x - '(uint64_t)' y" := (Op (Sub (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint64_t)' x - y" := (Op (Sub (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(uint64_t)' y" := (Op (Sub (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint64_t)' x - y" := (Op (Sub (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x - '(uint128_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 50).
-Notation "'(uint128_t)' x - '(uint128_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "'(uint128_t)' x - '(uint128_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint128_t)' x - '(uint128_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(uint128_t)' y" := (Op (Sub (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 50).
-Notation "'(uint128_t)' x - y" := (Op (Sub (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 50).
-Notation "x - '(uint128_t)' y" := (Op (Sub (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "'(uint128_t)' x - y" := (Op (Sub (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "x - '(uint128_t)' y" := (Op (Sub (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint128_t)' x - y" := (Op (Sub (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(uint128_t)' y" := (Op (Sub (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint128_t)' x - y" := (Op (Sub (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x & y" := (Op (Land _ _ _) (Pair x y)).
-Notation "x & y" := (Op (Land _ _ _) (Pair x (Var y))).
-Notation "x & y" := (Op (Land _ _ _) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land _ _ _) (Pair (Var x) (Var y))).
-Notation "'(bool)' x & '(bool)' y" := (Op (Land (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 40).
-Notation "'(bool)' x & '(bool)' y" := (Op (Land (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "'(bool)' x & '(bool)' y" := (Op (Land (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "'(bool)' x & '(bool)' y" := (Op (Land (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(bool)' y" := (Op (Land (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 40).
-Notation "'(bool)' x & y" := (Op (Land (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 40).
-Notation "x & '(bool)' y" := (Op (Land (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "'(bool)' x & y" := (Op (Land (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "x & '(bool)' y" := (Op (Land (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "'(bool)' x & y" := (Op (Land (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(bool)' y" := (Op (Land (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(bool)' x & y" := (Op (Land (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x & '(uint8_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(uint8_t)' y" := (Op (Land (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint8_t)' x & y" := (Op (Land (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(uint16_t)' x & '(uint16_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 40).
-Notation "'(uint16_t)' x & '(uint16_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "'(uint16_t)' x & '(uint16_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint16_t)' x & '(uint16_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(uint16_t)' y" := (Op (Land (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 40).
-Notation "'(uint16_t)' x & y" := (Op (Land (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 40).
-Notation "x & '(uint16_t)' y" := (Op (Land (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "'(uint16_t)' x & y" := (Op (Land (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "x & '(uint16_t)' y" := (Op (Land (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint16_t)' x & y" := (Op (Land (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(uint16_t)' y" := (Op (Land (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint16_t)' x & y" := (Op (Land (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(uint32_t)' x & '(uint32_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 40).
-Notation "'(uint32_t)' x & '(uint32_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "'(uint32_t)' x & '(uint32_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint32_t)' x & '(uint32_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(uint32_t)' y" := (Op (Land (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 40).
-Notation "'(uint32_t)' x & y" := (Op (Land (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 40).
-Notation "x & '(uint32_t)' y" := (Op (Land (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "'(uint32_t)' x & y" := (Op (Land (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "x & '(uint32_t)' y" := (Op (Land (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint32_t)' x & y" := (Op (Land (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(uint32_t)' y" := (Op (Land (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint32_t)' x & y" := (Op (Land (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(uint64_t)' x & '(uint64_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 40).
-Notation "'(uint64_t)' x & '(uint64_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "'(uint64_t)' x & '(uint64_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint64_t)' x & '(uint64_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(uint64_t)' y" := (Op (Land (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 40).
-Notation "'(uint64_t)' x & y" := (Op (Land (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 40).
-Notation "x & '(uint64_t)' y" := (Op (Land (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "'(uint64_t)' x & y" := (Op (Land (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "x & '(uint64_t)' y" := (Op (Land (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint64_t)' x & y" := (Op (Land (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(uint64_t)' y" := (Op (Land (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint64_t)' x & y" := (Op (Land (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x & '(uint128_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 40).
-Notation "'(uint128_t)' x & '(uint128_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "'(uint128_t)' x & '(uint128_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint128_t)' x & '(uint128_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(uint128_t)' y" := (Op (Land (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 40).
-Notation "'(uint128_t)' x & y" := (Op (Land (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 40).
-Notation "x & '(uint128_t)' y" := (Op (Land (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "'(uint128_t)' x & y" := (Op (Land (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "x & '(uint128_t)' y" := (Op (Land (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint128_t)' x & y" := (Op (Land (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(uint128_t)' y" := (Op (Land (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint128_t)' x & y" := (Op (Land (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x << y" := (Op (Shl _ _ _) (Pair x y)).
-Notation "x << y" := (Op (Shl _ _ _) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl _ _ _) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl _ _ _) (Pair (Var x) (Var y))).
-Notation "'(bool)' x << '(bool)' y" := (Op (Shl (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 30).
-Notation "'(bool)' x << '(bool)' y" := (Op (Shl (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 30).
-Notation "'(bool)' x << '(bool)' y" := (Op (Shl (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 30).
-Notation "'(bool)' x << '(bool)' y" := (Op (Shl (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(bool)' y" := (Op (Shl (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 30).
-Notation "'(bool)' x << y" := (Op (Shl (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 30).
-Notation "x << '(bool)' y" := (Op (Shl (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 30).
-Notation "'(bool)' x << y" := (Op (Shl (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 30).
-Notation "x << '(bool)' y" := (Op (Shl (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 30).
-Notation "'(bool)' x << y" := (Op (Shl (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(bool)' y" := (Op (Shl (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(bool)' x << y" := (Op (Shl (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' x << '(uint8_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(uint8_t)' y" := (Op (Shl (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint8_t)' x << y" := (Op (Shl (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(uint16_t)' x << '(uint16_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 30).
-Notation "'(uint16_t)' x << '(uint16_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 30).
-Notation "'(uint16_t)' x << '(uint16_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint16_t)' x << '(uint16_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(uint16_t)' y" := (Op (Shl (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 30).
-Notation "'(uint16_t)' x << y" := (Op (Shl (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 30).
-Notation "x << '(uint16_t)' y" := (Op (Shl (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 30).
-Notation "'(uint16_t)' x << y" := (Op (Shl (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 30).
-Notation "x << '(uint16_t)' y" := (Op (Shl (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint16_t)' x << y" := (Op (Shl (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(uint16_t)' y" := (Op (Shl (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint16_t)' x << y" := (Op (Shl (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(uint32_t)' x << '(uint32_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 30).
-Notation "'(uint32_t)' x << '(uint32_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 30).
-Notation "'(uint32_t)' x << '(uint32_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint32_t)' x << '(uint32_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(uint32_t)' y" := (Op (Shl (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 30).
-Notation "'(uint32_t)' x << y" := (Op (Shl (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 30).
-Notation "x << '(uint32_t)' y" := (Op (Shl (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 30).
-Notation "'(uint32_t)' x << y" := (Op (Shl (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 30).
-Notation "x << '(uint32_t)' y" := (Op (Shl (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint32_t)' x << y" := (Op (Shl (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(uint32_t)' y" := (Op (Shl (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint32_t)' x << y" := (Op (Shl (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(uint64_t)' x << '(uint64_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 30).
-Notation "'(uint64_t)' x << '(uint64_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 30).
-Notation "'(uint64_t)' x << '(uint64_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint64_t)' x << '(uint64_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(uint64_t)' y" := (Op (Shl (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 30).
-Notation "'(uint64_t)' x << y" := (Op (Shl (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 30).
-Notation "x << '(uint64_t)' y" := (Op (Shl (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 30).
-Notation "'(uint64_t)' x << y" := (Op (Shl (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 30).
-Notation "x << '(uint64_t)' y" := (Op (Shl (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint64_t)' x << y" := (Op (Shl (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(uint64_t)' y" := (Op (Shl (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint64_t)' x << y" := (Op (Shl (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x << '(uint128_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 30).
-Notation "'(uint128_t)' x << '(uint128_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 30).
-Notation "'(uint128_t)' x << '(uint128_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint128_t)' x << '(uint128_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(uint128_t)' y" := (Op (Shl (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 30).
-Notation "'(uint128_t)' x << y" := (Op (Shl (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 30).
-Notation "x << '(uint128_t)' y" := (Op (Shl (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 30).
-Notation "'(uint128_t)' x << y" := (Op (Shl (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 30).
-Notation "x << '(uint128_t)' y" := (Op (Shl (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint128_t)' x << y" := (Op (Shl (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(uint128_t)' y" := (Op (Shl (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint128_t)' x << y" := (Op (Shl (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x >> y" := (Op (Shr _ _ _) (Pair x y)).
-Notation "x >> y" := (Op (Shr _ _ _) (Pair x (Var y))).
-Notation "x >> y" := (Op (Shr _ _ _) (Pair (Var x) y)).
-Notation "x >> y" := (Op (Shr _ _ _) (Pair (Var x) (Var y))).
-Notation "'(bool)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 30).
-Notation "'(bool)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 30).
-Notation "'(bool)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 30).
-Notation "'(bool)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint8_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint16_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 30).
-Notation "'(uint16_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 30).
-Notation "'(uint16_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint16_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint32_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 30).
-Notation "'(uint32_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 30).
-Notation "'(uint32_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint32_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint64_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 30).
-Notation "'(uint64_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 30).
-Notation "'(uint64_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint64_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint128_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 30).
-Notation "'(uint128_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 30).
-Notation "'(uint128_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint128_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 30).
+Notation uint16_t := (Tbase (TWord 4)).
+Notation uint32_t := (Tbase (TWord 5)).
+Notation uint64_t := (Tbase (TWord 6)).
+Notation uint128_t := (Tbase (TWord 7)).
+Notation "'(bool)' x" := (Op (Cast _ (TWord 0)) x).
+Notation "'(uint8_t)' x" := (Op (Cast _ (TWord 1)) x).
+Notation "'(uint8_t)' x" := (Op (Cast _ (TWord 2)) x).
+Notation "'(uint8_t)' x" := (Op (Cast _ (TWord 3)) x).
+Notation "'(uint16_t)' x" := (Op (Cast _ (TWord 4)) x).
+Notation "'(uint32_t)' x" := (Op (Cast _ (TWord 5)) x).
+Notation "'(uint64_t)' x" := (Op (Cast _ (TWord 6)) x).
+Notation "'(uint128_t)' x" := (Op (Cast _ (TWord 7)) x).
+Notation "'(bool)' x" := (Op (Cast _ (TWord 0)) (Var x)).
+Notation "'(uint8_t)' x" := (Op (Cast _ (TWord 1)) (Var x)).
+Notation "'(uint8_t)' x" := (Op (Cast _ (TWord 2)) (Var x)).
+Notation "'(uint8_t)' x" := (Op (Cast _ (TWord 3)) (Var x)).
+Notation "'(uint16_t)' x" := (Op (Cast _ (TWord 4)) (Var x)).
+Notation "'(uint32_t)' x" := (Op (Cast _ (TWord 5)) (Var x)).
+Notation "'(uint64_t)' x" := (Op (Cast _ (TWord 6)) (Var x)).
+Notation "'(uint128_t)' x" := (Op (Cast _ (TWord 7)) (Var x)).
+Notation "x + y" := (Op (Add _) (Pair x y)).
+Notation "x + y" := (Op (Add _) (Pair (Var x) y)).
+Notation "x + y" := (Op (Add _) (Pair x (Var y))).
+Notation "x + y" := (Op (Add _) (Pair (Var x) (Var y))).
+Notation "x - y" := (Op (Sub _) (Pair x y)).
+Notation "x - y" := (Op (Sub _) (Pair (Var x) y)).
+Notation "x - y" := (Op (Sub _) (Pair x (Var y))).
+Notation "x - y" := (Op (Sub _) (Pair (Var x) (Var y))).
+Notation "x * y" := (Op (Mul _) (Pair x y)).
+Notation "x * y" := (Op (Mul _) (Pair (Var x) y)).
+Notation "x * y" := (Op (Mul _) (Pair x (Var y))).
+Notation "x * y" := (Op (Mul _) (Pair (Var x) (Var y))).
+(* python:
+<<
+for opn, op in (('*', 'Mul'), ('+', 'Add'), ('&', 'Land')):
+ for lgwordsz in (5, 6, 7):
+ for side in ('l', 'r'):
+ for v1 in (False, True):
+ for v2 in (False, True):
+ lhs = ('x' if not v1 else '(Var x)')
+ lhs = (lhs if side != 'l' else '(Op (Cast _ (TWord %d)) %s)' % (lgwordsz, lhs))
+ rhs = ('y' if not v2 else '(Var y)')
+ rhs = (rhs if side != 'r' else '(Op (Cast _ (TWord %d)) %s)' % (lgwordsz, rhs))
+ print('Notation "x %s y" := (Op (%s (TWord %d)) (Pair %s %s)).' % (opn, op, lgwordsz, lhs, rhs))
+>> *)
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) y)).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) y)).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) y))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) y))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) y)).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) y)).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) y))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) y))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) y)).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) y)).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) y))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) y))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) y)).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) (Var y))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) y)).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) (Var y))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) y))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) y))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) y)).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) (Var y))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) y)).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) (Var y))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) y))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) y))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) y)).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) (Var y))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) y)).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) (Var y))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) y))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) y))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x >> y" := (Op (Shr _) (Pair x y)).
+Notation "x >> y" := (Op (Shr _) (Pair (Var x) y)).
+Notation "x >> y" := (Op (Shr _) (Pair x (Var y))).
+Notation "x >> y" := (Op (Shr _) (Pair (Var x) (Var y))).
+Notation "x >> y" := (Op (Shr _) (Pair x (Op (Cast _ _) y))).
+Notation "x >> y" := (Op (Shr _) (Pair (Var x) (Op (Cast _ _) y))).
+Notation "x >> y" := (Op (Shr _) (Pair x (Op (Cast _ _) (Var y)))).
+Notation "x >> y" := (Op (Shr _) (Pair (Var x) (Op (Cast _ _) (Var y)))).
+Notation "x & y" := (Op (Land _) (Pair x y)).
+Notation "x & y" := (Op (Land _) (Pair (Var x) y)).
+Notation "x & y" := (Op (Land _) (Pair x (Var y))).
+Notation "x & y" := (Op (Land _) (Pair (Var x) (Var y))).
+Notation "x & y" := (Op (Land (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) y)).
+Notation "x & y" := (Op (Land (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) (Var y))).
+Notation "x & y" := (Op (Land (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) y)).
+Notation "x & y" := (Op (Land (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) (Var y))).
+Notation "x & y" := (Op (Land (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) y))).
+Notation "x & y" := (Op (Land (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x & y" := (Op (Land (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) y))).
+Notation "x & y" := (Op (Land (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) y)).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) (Var y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) y)).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) (Var y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) y)).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) (Var y))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) y)).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) (Var y))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) y))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) y))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) (Var y)))).
Notation Return x := (Var x).
Notation C_like := (Expr base_type op _).
diff --git a/src/Reflection/Z/JavaNotations.v b/src/Reflection/Z/JavaNotations.v
index d0e32610b..96a04f5fc 100644
--- a/src/Reflection/Z/JavaNotations.v
+++ b/src/Reflection/Z/JavaNotations.v
@@ -4,6 +4,9 @@ Require Export Crypto.Reflection.Z.HexNotationConstants.
Require Export Crypto.Util.Notations.
Reserved Notation "T x = A ; b" (at level 200, b at level 200, format "T x = A ; '//' b").
+Reserved Notation "'(int)' x" (at level 200, x at level 9).
+Reserved Notation "'(long)' x" (at level 200, x at level 9).
+Reserved Notation "'(uint128_t)' x" (at level 200, x at level 9).
Reserved Notation "x & y" (at level 40).
(* N.B. M32 is 0xFFFFFFFFL, and is how to cast a 64-bit thing to a 32-bit thing in Java *)
Reserved Notation "'M32' & x" (at level 200, x at level 9).
@@ -11,8 +14,15 @@ Reserved Notation "'M32' & x" (at level 200, x at level 9).
Global Open Scope expr_scope.
Notation "T x = A ; b" := (LetIn (tx:=T) A (fun x => b)) : expr_scope.
-(* ??? Did I get M32 wrong? *)
-(*Notation "'(int)' x" := (Op (Cast _ (TWord 0)) x).
+Notation "'int'" := (Tbase (TWord 0)).
+Notation "'int'" := (Tbase (TWord 1)).
+Notation "'int'" := (Tbase (TWord 2)).
+Notation "'int'" := (Tbase (TWord 3)).
+Notation "'int'" := (Tbase (TWord 4)).
+Notation "'int'" := (Tbase (TWord 5)).
+Notation long := (Tbase (TWord 6)).
+Notation uint128_t := (Tbase (TWord 7)).
+Notation "'(int)' x" := (Op (Cast _ (TWord 0)) x).
Notation "'(int)' x" := (Op (Cast _ (TWord 1)) x).
Notation "'(int)' x" := (Op (Cast _ (TWord 2)) x).
Notation "'(int)' x" := (Op (Cast _ (TWord 3)) x).
@@ -27,764 +37,107 @@ Notation "'(int)' x" := (Op (Cast _ (TWord 3)) (Var x)).
Notation "'(int)' x" := (Op (Cast _ (TWord 4)) (Var x)).
Notation "'(int)' x" := (Op (Cast _ (TWord 5)) (Var x)).
Notation "'M32' & x" := (Op (Cast _ (TWord 6)) (Var x)).
-Notation "'(uint128_t)' x" := (Op (Cast _ (TWord 7)) (Var x)).*)
+Notation "'(uint128_t)' x" := (Op (Cast _ (TWord 7)) (Var x)).
+Notation "x + y" := (Op (Add _) (Pair x y)).
+Notation "x + y" := (Op (Add _) (Pair (Var x) y)).
+Notation "x + y" := (Op (Add _) (Pair x (Var y))).
+Notation "x + y" := (Op (Add _) (Pair (Var x) (Var y))).
+Notation "x - y" := (Op (Sub _) (Pair x y)).
+Notation "x - y" := (Op (Sub _) (Pair (Var x) y)).
+Notation "x - y" := (Op (Sub _) (Pair x (Var y))).
+Notation "x - y" := (Op (Sub _) (Pair (Var x) (Var y))).
+Notation "x * y" := (Op (Mul _) (Pair x y)).
+Notation "x * y" := (Op (Mul _) (Pair (Var x) y)).
+Notation "x * y" := (Op (Mul _) (Pair x (Var y))).
+Notation "x * y" := (Op (Mul _) (Pair (Var x) (Var y))).
(* python:
<<
-types = ('int', 'int', 'int', 'int', 'int', 'int', 'long', 'uint128_t')
-for lgwordsz in range(0, len(types)):
- print('Notation "\'%s\'" := (Tbase (TWord %d)).' % (types[lgwordsz], lgwordsz))
-print('')
-cast_pat = "'(%s)' %s"
-for opn, op, lvl in (('*', 'Mul', 40), ('+', 'Add', 50), ('-', 'Sub', 50), ('&', 'Land', 40), ('<<', 'Shl', 30)):
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "x %s y" := (Op (%s _ _ _) (Pair %s %s)).' % (opn, op, lhs, rhs))
- for lgwordsz in range(0, len(types)):
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "%s %s %s" := (Op (%s (TWord _) (TWord _) (TWord %d)) (Pair %s %s)) (at level %d).'
- % (cast_pat % (types[lgwordsz], 'x'), opn, cast_pat % (types[lgwordsz], 'y'),
- op, lgwordsz, lhs, rhs, lvl))
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "%s %s %s" := (Op (%s (TWord %d) (TWord _) (TWord %d)) (Pair %s %s)) (at level %d).'
- % ('x', opn, cast_pat % (types[lgwordsz], 'y'),
- op, lgwordsz, lgwordsz, lhs, rhs, lvl))
- print('Notation "%s %s %s" := (Op (%s (TWord _) (TWord %d) (TWord %d)) (Pair %s %s)) (at level %d).'
- % (cast_pat % (types[lgwordsz], 'x'), opn, 'y',
- op, lgwordsz, lgwordsz, lhs, rhs, lvl))
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "x %s y" := (Op (%s (TWord %d) (TWord %d) (TWord %d)) (Pair %s %s)).'
- % (opn, op, lgwordsz, lgwordsz, lgwordsz, lhs, rhs))
-for opn, op, lvl in (('>>', 'Shr', 30),):
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "x %s y" := (Op (%s _ _ _) (Pair %s %s)).' % (opn, op, lhs, rhs))
- for lgwordsz in range(0, len(types)):
- for v1 in (False, True):
- for v2 in (False, True):
- lhs = ('x' if not v1 else '(Var x)')
- rhs = ('y' if not v2 else '(Var y)')
- print('Notation "\'(%s)\' ( x %s y )" := (Op (%s (TWord _) (TWord _) (TWord %d)) (Pair %s %s)) (at level %d).'
- % (types[lgwordsz], opn, op, lgwordsz, lhs, rhs, lvl))
-print('Notation Return x := (Var x).')
-print('Notation Java_like := (Expr base_type op _).')
+for opn, op in (('*', 'Mul'), ('+', 'Add'), ('&', 'Land')):
+ for lgwordsz in (5, 6, 7):
+ for side in ('l', 'r'):
+ for v1 in (False, True):
+ for v2 in (False, True):
+ lhs = ('x' if not v1 else '(Var x)')
+ lhs = (lhs if side != 'l' else '(Op (Cast _ (TWord %d)) %s)' % (lgwordsz, lhs))
+ rhs = ('y' if not v2 else '(Var y)')
+ rhs = (rhs if side != 'r' else '(Op (Cast _ (TWord %d)) %s)' % (lgwordsz, rhs))
+ print('Notation "x %s y" := (Op (%s (TWord %d)) (Pair %s %s)).' % (opn, op, lgwordsz, lhs, rhs))
>> *)
-Notation "'int'" := (Tbase (TWord 0)).
-Notation "'int'" := (Tbase (TWord 1)).
-Notation "'int'" := (Tbase (TWord 2)).
-Notation "'int'" := (Tbase (TWord 3)).
-Notation "'int'" := (Tbase (TWord 4)).
-Notation "'int'" := (Tbase (TWord 5)).
-Notation "'long'" := (Tbase (TWord 6)).
-Notation "'uint128_t'" := (Tbase (TWord 7)).
-
-Notation "x * y" := (Op (Mul _ _ _) (Pair x y)).
-Notation "x * y" := (Op (Mul _ _ _) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul _ _ _) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul _ _ _) (Pair (Var x) (Var y))).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * '(int)' y" := (Op (Mul (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(int)' y" := (Op (Mul (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x * y" := (Op (Mul (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(long)' x * '(long)' y" := (Op (Mul (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 40).
-Notation "'(long)' x * '(long)' y" := (Op (Mul (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "'(long)' x * '(long)' y" := (Op (Mul (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "'(long)' x * '(long)' y" := (Op (Mul (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(long)' y" := (Op (Mul (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 40).
-Notation "'(long)' x * y" := (Op (Mul (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 40).
-Notation "x * '(long)' y" := (Op (Mul (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "'(long)' x * y" := (Op (Mul (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "x * '(long)' y" := (Op (Mul (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "'(long)' x * y" := (Op (Mul (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(long)' y" := (Op (Mul (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(long)' x * y" := (Op (Mul (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x * '(uint128_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 40).
-Notation "'(uint128_t)' x * '(uint128_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "'(uint128_t)' x * '(uint128_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint128_t)' x * '(uint128_t)' y" := (Op (Mul (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * '(uint128_t)' y" := (Op (Mul (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 40).
-Notation "'(uint128_t)' x * y" := (Op (Mul (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 40).
-Notation "x * '(uint128_t)' y" := (Op (Mul (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "'(uint128_t)' x * y" := (Op (Mul (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "x * '(uint128_t)' y" := (Op (Mul (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint128_t)' x * y" := (Op (Mul (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "x * '(uint128_t)' y" := (Op (Mul (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint128_t)' x * y" := (Op (Mul (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x * y" := (Op (Mul (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x * y" := (Op (Mul (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x * y" := (Op (Mul (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x * y" := (Op (Mul (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x + y" := (Op (Add _ _ _) (Pair x y)).
-Notation "x + y" := (Op (Add _ _ _) (Pair x (Var y))).
-Notation "x + y" := (Op (Add _ _ _) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add _ _ _) (Pair (Var x) (Var y))).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + '(int)' y" := (Op (Add (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(int)' y" := (Op (Add (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x + y" := (Op (Add (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(long)' x + '(long)' y" := (Op (Add (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 50).
-Notation "'(long)' x + '(long)' y" := (Op (Add (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "'(long)' x + '(long)' y" := (Op (Add (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "'(long)' x + '(long)' y" := (Op (Add (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(long)' y" := (Op (Add (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 50).
-Notation "'(long)' x + y" := (Op (Add (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 50).
-Notation "x + '(long)' y" := (Op (Add (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "'(long)' x + y" := (Op (Add (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "x + '(long)' y" := (Op (Add (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "'(long)' x + y" := (Op (Add (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(long)' y" := (Op (Add (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(long)' x + y" := (Op (Add (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x + '(uint128_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 50).
-Notation "'(uint128_t)' x + '(uint128_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "'(uint128_t)' x + '(uint128_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint128_t)' x + '(uint128_t)' y" := (Op (Add (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + '(uint128_t)' y" := (Op (Add (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 50).
-Notation "'(uint128_t)' x + y" := (Op (Add (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 50).
-Notation "x + '(uint128_t)' y" := (Op (Add (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "'(uint128_t)' x + y" := (Op (Add (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "x + '(uint128_t)' y" := (Op (Add (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint128_t)' x + y" := (Op (Add (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "x + '(uint128_t)' y" := (Op (Add (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint128_t)' x + y" := (Op (Add (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x + y" := (Op (Add (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x + y" := (Op (Add (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x + y" := (Op (Add (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x + y" := (Op (Add (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x - y" := (Op (Sub _ _ _) (Pair x y)).
-Notation "x - y" := (Op (Sub _ _ _) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub _ _ _) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub _ _ _) (Pair (Var x) (Var y))).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - '(int)' y" := (Op (Sub (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(int)' y" := (Op (Sub (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(int)' x - y" := (Op (Sub (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(long)' x - '(long)' y" := (Op (Sub (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 50).
-Notation "'(long)' x - '(long)' y" := (Op (Sub (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "'(long)' x - '(long)' y" := (Op (Sub (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "'(long)' x - '(long)' y" := (Op (Sub (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(long)' y" := (Op (Sub (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 50).
-Notation "'(long)' x - y" := (Op (Sub (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 50).
-Notation "x - '(long)' y" := (Op (Sub (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "'(long)' x - y" := (Op (Sub (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 50).
-Notation "x - '(long)' y" := (Op (Sub (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "'(long)' x - y" := (Op (Sub (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(long)' y" := (Op (Sub (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(long)' x - y" := (Op (Sub (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x - '(uint128_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 50).
-Notation "'(uint128_t)' x - '(uint128_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "'(uint128_t)' x - '(uint128_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint128_t)' x - '(uint128_t)' y" := (Op (Sub (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - '(uint128_t)' y" := (Op (Sub (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 50).
-Notation "'(uint128_t)' x - y" := (Op (Sub (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 50).
-Notation "x - '(uint128_t)' y" := (Op (Sub (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "'(uint128_t)' x - y" := (Op (Sub (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 50).
-Notation "x - '(uint128_t)' y" := (Op (Sub (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "'(uint128_t)' x - y" := (Op (Sub (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 50).
-Notation "x - '(uint128_t)' y" := (Op (Sub (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "'(uint128_t)' x - y" := (Op (Sub (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 50).
-Notation "x - y" := (Op (Sub (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x - y" := (Op (Sub (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x - y" := (Op (Sub (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x - y" := (Op (Sub (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x & y" := (Op (Land _ _ _) (Pair x y)).
-Notation "x & y" := (Op (Land _ _ _) (Pair x (Var y))).
-Notation "x & y" := (Op (Land _ _ _) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land _ _ _) (Pair (Var x) (Var y))).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & '(int)' y" := (Op (Land (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(int)' y" := (Op (Land (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(int)' x & y" := (Op (Land (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(long)' x & '(long)' y" := (Op (Land (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 40).
-Notation "'(long)' x & '(long)' y" := (Op (Land (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "'(long)' x & '(long)' y" := (Op (Land (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "'(long)' x & '(long)' y" := (Op (Land (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(long)' y" := (Op (Land (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 40).
-Notation "'(long)' x & y" := (Op (Land (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 40).
-Notation "x & '(long)' y" := (Op (Land (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "'(long)' x & y" := (Op (Land (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 40).
-Notation "x & '(long)' y" := (Op (Land (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "'(long)' x & y" := (Op (Land (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(long)' y" := (Op (Land (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(long)' x & y" := (Op (Land (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x & '(uint128_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 40).
-Notation "'(uint128_t)' x & '(uint128_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "'(uint128_t)' x & '(uint128_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint128_t)' x & '(uint128_t)' y" := (Op (Land (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & '(uint128_t)' y" := (Op (Land (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 40).
-Notation "'(uint128_t)' x & y" := (Op (Land (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 40).
-Notation "x & '(uint128_t)' y" := (Op (Land (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "'(uint128_t)' x & y" := (Op (Land (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 40).
-Notation "x & '(uint128_t)' y" := (Op (Land (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "'(uint128_t)' x & y" := (Op (Land (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 40).
-Notation "x & '(uint128_t)' y" := (Op (Land (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "'(uint128_t)' x & y" := (Op (Land (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 40).
-Notation "x & y" := (Op (Land (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x & y" := (Op (Land (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x & y" := (Op (Land (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x & y" := (Op (Land (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x << y" := (Op (Shl _ _ _) (Pair x y)).
-Notation "x << y" := (Op (Shl _ _ _) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl _ _ _) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl _ _ _) (Pair (Var x) (Var y))).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 0) (TWord _) (TWord 0)) (Pair x y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 0) (TWord 0)) (Pair x y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 0) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 0) (TWord 0)) (Pair x (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 0) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 0) (TWord 0) (TWord 0)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 0) (TWord 0) (TWord 0)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 0) (TWord 0) (TWord 0)) (Pair (Var x) (Var y))).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 1) (TWord _) (TWord 1)) (Pair x y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 1) (TWord 1)) (Pair x y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 1) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 1) (TWord 1)) (Pair x (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 1) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 1) (TWord 1) (TWord 1)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 1) (TWord 1) (TWord 1)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 1) (TWord 1) (TWord 1)) (Pair (Var x) (Var y))).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 2) (TWord _) (TWord 2)) (Pair x y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 2) (TWord 2)) (Pair x y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 2) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 2) (TWord 2)) (Pair x (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 2) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 2) (TWord 2) (TWord 2)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 2) (TWord 2) (TWord 2)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 2) (TWord 2) (TWord 2)) (Pair (Var x) (Var y))).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 3) (TWord _) (TWord 3)) (Pair x y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 3) (TWord 3)) (Pair x y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 3) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 3) (TWord 3)) (Pair x (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 3) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 3) (TWord 3) (TWord 3)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 3) (TWord 3) (TWord 3)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 3) (TWord 3) (TWord 3)) (Pair (Var x) (Var y))).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 4) (TWord _) (TWord 4)) (Pair x y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 4) (TWord 4)) (Pair x y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 4) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 4) (TWord 4)) (Pair x (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 4) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 4) (TWord 4) (TWord 4)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 4) (TWord 4) (TWord 4)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 4) (TWord 4) (TWord 4)) (Pair (Var x) (Var y))).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << '(int)' y" := (Op (Shl (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 5) (TWord _) (TWord 5)) (Pair x y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 5) (TWord 5)) (Pair x y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 5) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 5) (TWord 5)) (Pair x (Var y))) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(int)' y" := (Op (Shl (TWord 5) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' x << y" := (Op (Shl (TWord _) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 5) (TWord 5) (TWord 5)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 5) (TWord 5) (TWord 5)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 5) (TWord 5) (TWord 5)) (Pair (Var x) (Var y))).
-Notation "'(long)' x << '(long)' y" := (Op (Shl (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 30).
-Notation "'(long)' x << '(long)' y" := (Op (Shl (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 30).
-Notation "'(long)' x << '(long)' y" := (Op (Shl (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 30).
-Notation "'(long)' x << '(long)' y" := (Op (Shl (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(long)' y" := (Op (Shl (TWord 6) (TWord _) (TWord 6)) (Pair x y)) (at level 30).
-Notation "'(long)' x << y" := (Op (Shl (TWord _) (TWord 6) (TWord 6)) (Pair x y)) (at level 30).
-Notation "x << '(long)' y" := (Op (Shl (TWord 6) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 30).
-Notation "'(long)' x << y" := (Op (Shl (TWord _) (TWord 6) (TWord 6)) (Pair x (Var y))) (at level 30).
-Notation "x << '(long)' y" := (Op (Shl (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 30).
-Notation "'(long)' x << y" := (Op (Shl (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(long)' y" := (Op (Shl (TWord 6) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(long)' x << y" := (Op (Shl (TWord _) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 6) (TWord 6) (TWord 6)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 6) (TWord 6) (TWord 6)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 6) (TWord 6) (TWord 6)) (Pair (Var x) (Var y))).
-Notation "'(uint128_t)' x << '(uint128_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 30).
-Notation "'(uint128_t)' x << '(uint128_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 30).
-Notation "'(uint128_t)' x << '(uint128_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint128_t)' x << '(uint128_t)' y" := (Op (Shl (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << '(uint128_t)' y" := (Op (Shl (TWord 7) (TWord _) (TWord 7)) (Pair x y)) (at level 30).
-Notation "'(uint128_t)' x << y" := (Op (Shl (TWord _) (TWord 7) (TWord 7)) (Pair x y)) (at level 30).
-Notation "x << '(uint128_t)' y" := (Op (Shl (TWord 7) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 30).
-Notation "'(uint128_t)' x << y" := (Op (Shl (TWord _) (TWord 7) (TWord 7)) (Pair x (Var y))) (at level 30).
-Notation "x << '(uint128_t)' y" := (Op (Shl (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint128_t)' x << y" := (Op (Shl (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) y)) (at level 30).
-Notation "x << '(uint128_t)' y" := (Op (Shl (TWord 7) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint128_t)' x << y" := (Op (Shl (TWord _) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))) (at level 30).
-Notation "x << y" := (Op (Shl (TWord 7) (TWord 7) (TWord 7)) (Pair x y)).
-Notation "x << y" := (Op (Shl (TWord 7) (TWord 7) (TWord 7)) (Pair x (Var y))).
-Notation "x << y" := (Op (Shl (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) y)).
-Notation "x << y" := (Op (Shl (TWord 7) (TWord 7) (TWord 7)) (Pair (Var x) (Var y))).
-Notation "x >> y" := (Op (Shr _ _ _) (Pair x y)).
-Notation "x >> y" := (Op (Shr _ _ _) (Pair x (Var y))).
-Notation "x >> y" := (Op (Shr _ _ _) (Pair (Var x) y)).
-Notation "x >> y" := (Op (Shr _ _ _) (Pair (Var x) (Var y))).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 0)) (Pair x y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 0)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 0)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 0)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 1)) (Pair x y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 1)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 1)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 1)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 2)) (Pair x y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 2)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 2)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 2)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 3)) (Pair x y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 3)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 3)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 3)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 4)) (Pair x y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 4)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 4)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 4)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 5)) (Pair x y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 5)) (Pair x (Var y))) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 5)) (Pair (Var x) y)) (at level 30).
-Notation "'(int)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 5)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(long)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 6)) (Pair x y)) (at level 30).
-Notation "'(long)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 6)) (Pair x (Var y))) (at level 30).
-Notation "'(long)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 6)) (Pair (Var x) y)) (at level 30).
-Notation "'(long)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 6)) (Pair (Var x) (Var y))) (at level 30).
-Notation "'(uint128_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 7)) (Pair x y)) (at level 30).
-Notation "'(uint128_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 7)) (Pair x (Var y))) (at level 30).
-Notation "'(uint128_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 7)) (Pair (Var x) y)) (at level 30).
-Notation "'(uint128_t)' ( x >> y )" := (Op (Shr (TWord _) (TWord _) (TWord 7)) (Pair (Var x) (Var y))) (at level 30).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) y)).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) y)).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) y))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) y))).
+Notation "x * y" := (Op (Mul (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) y)).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) y)).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) y))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) y))).
+Notation "x * y" := (Op (Mul (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) y)).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) y)).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) (Var y))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) y))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) y))).
+Notation "x * y" := (Op (Mul (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) y)).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Op (Cast _ (TWord 5)) x) (Var y))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) y)).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Op (Cast _ (TWord 5)) (Var x)) (Var y))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) y))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair x (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) y))).
+Notation "x + y" := (Op (Add (TWord 5)) (Pair (Var x) (Op (Cast _ (TWord 5)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) y)).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) (Var y))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) y)).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) (Var y))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) y))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) y))).
+Notation "x + y" := (Op (Add (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) y)).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) (Var y))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) y)).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) (Var y))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) y))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) y))).
+Notation "x + y" := (Op (Add (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x >>> y" := (Op (Shr _) (Pair x y)).
+Notation "x >>> y" := (Op (Shr _) (Pair (Var x) y)).
+Notation "x >>> y" := (Op (Shr _) (Pair x (Var y))).
+Notation "x >>> y" := (Op (Shr _) (Pair (Var x) (Var y))).
+Notation "x >>> y" := (Op (Shr _) (Pair x (Op (Cast _ _) y))).
+Notation "x >>> y" := (Op (Shr _) (Pair (Var x) (Op (Cast _ _) y))).
+Notation "x >>> y" := (Op (Shr _) (Pair x (Op (Cast _ _) (Var y)))).
+Notation "x >>> y" := (Op (Shr _) (Pair (Var x) (Op (Cast _ _) (Var y)))).
+Notation "x & y" := (Op (Land _) (Pair x y)).
+Notation "x & y" := (Op (Land _) (Pair (Var x) y)).
+Notation "x & y" := (Op (Land _) (Pair x (Var y))).
+Notation "x & y" := (Op (Land _) (Pair (Var x) (Var y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) y)).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Op (Cast _ (TWord 6)) x) (Var y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) y)).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Op (Cast _ (TWord 6)) (Var x)) (Var y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair x (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) y))).
+Notation "x & y" := (Op (Land (TWord 6)) (Pair (Var x) (Op (Cast _ (TWord 6)) (Var y)))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) y)).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Op (Cast _ (TWord 7)) x) (Var y))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) y)).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Op (Cast _ (TWord 7)) (Var x)) (Var y))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) y))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair x (Op (Cast _ (TWord 7)) (Var y)))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) y))).
+Notation "x & y" := (Op (Land (TWord 7)) (Pair (Var x) (Op (Cast _ (TWord 7)) (Var y)))).
Notation Return x := (Var x).
Notation Java_like := (Expr base_type op _).