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Diffstat (limited to 'plugins/subtac/test/euclid.v')
-rw-r--r-- | plugins/subtac/test/euclid.v | 24 |
1 files changed, 0 insertions, 24 deletions
diff --git a/plugins/subtac/test/euclid.v b/plugins/subtac/test/euclid.v deleted file mode 100644 index 97c3d941..00000000 --- a/plugins/subtac/test/euclid.v +++ /dev/null @@ -1,24 +0,0 @@ -Require Import Coq.Program.Program. -Require Import Coq.Arith.Compare_dec. -Notation "( x & y )" := (existS _ x y) : core_scope. - -Require Import Omega. - -Program Fixpoint euclid (a : nat) (b : { b : nat | b <> O }) {wf lt a} : - { q : nat & { r : nat | a = b * q + r /\ r < b } } := - if le_lt_dec b a then let (q', r) := euclid (a - b) b in - (S q' & r) - else (O & a). - -Next Obligation. - assert(b * S q' = b * q' + b) by auto with arith ; omega. -Defined. - -Program Definition test_euclid : (prod nat nat) := let (q, r) := euclid 4 2 in (q, q). - -Eval lazy beta zeta delta iota in test_euclid. - -Program Definition testsig (a : nat) : { x : nat & { y : nat | x < y } } := - (a & S a). - -Check testsig. |