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-rw-r--r--theories/Arith/Compare_dec.v12
-rw-r--r--theories/Arith/Div2.v4
-rw-r--r--theories/Arith/EqNat.v6
-rw-r--r--theories/Arith/Le.v18
-rw-r--r--theories/Arith/Lt.v24
-rw-r--r--theories/Arith/Minus.v10
-rw-r--r--theories/Arith/Mult.v24
-rw-r--r--theories/Arith/Peano_dec.v2
-rw-r--r--theories/Arith/Plus.v12
-rw-r--r--theories/Compat/Coq85.v36
-rw-r--r--theories/FSets/FMapFacts.v6
-rw-r--r--theories/Init/Datatypes.v18
-rw-r--r--theories/Init/Logic.v16
-rw-r--r--theories/Init/Logic_Type.v8
-rw-r--r--theories/Init/Peano.v20
-rw-r--r--theories/Init/Specif.v26
-rw-r--r--theories/Lists/List.v1
-rw-r--r--theories/Logic/ChoiceFacts.v8
-rw-r--r--theories/Logic/EqdepFacts.v2
-rw-r--r--theories/NArith/BinNat.v165
-rw-r--r--theories/NArith/Ndec.v12
-rw-r--r--theories/NArith/Ndigits.v26
-rw-r--r--theories/NArith/Ndiv_def.v12
-rw-r--r--theories/NArith/Nnat.v54
-rw-r--r--theories/NArith/Nsqrt_def.v10
-rw-r--r--theories/Numbers/Natural/Peano/NPeano.v124
-rw-r--r--theories/PArith/BinPos.v342
-rw-r--r--theories/PArith/Pnat.v60
-rw-r--r--theories/QArith/Qreduction.v4
-rw-r--r--theories/Reals/RIneq.v2
-rw-r--r--theories/Reals/Rbasic_fun.v2
-rw-r--r--theories/Reals/Rlogic.v4
-rw-r--r--theories/Structures/OrderedTypeEx.v2
-rw-r--r--theories/Vectors/VectorDef.v2
-rw-r--r--theories/ZArith/BinInt.v176
-rw-r--r--theories/ZArith/Int.v6
-rw-r--r--theories/ZArith/ZArith_dec.v2
-rw-r--r--theories/ZArith/Zabs.v46
-rw-r--r--theories/ZArith/Zbool.v10
-rw-r--r--theories/ZArith/Zcompare.v26
-rw-r--r--theories/ZArith/Zdiv.v20
-rw-r--r--theories/ZArith/Zeven.v16
-rw-r--r--theories/ZArith/Zmax.v52
-rw-r--r--theories/ZArith/Zmin.v38
-rw-r--r--theories/ZArith/Zminmax.v14
-rw-r--r--theories/ZArith/Zmisc.v2
-rw-r--r--theories/ZArith/Znat.v116
-rw-r--r--theories/ZArith/Znumtheory.v62
-rw-r--r--theories/ZArith/Zorder.v86
-rw-r--r--theories/ZArith/Zpow_def.v12
-rw-r--r--theories/ZArith/Zpow_facts.v30
-rw-r--r--theories/ZArith/Zquot.v30
52 files changed, 889 insertions, 929 deletions
diff --git a/theories/Arith/Compare_dec.v b/theories/Arith/Compare_dec.v
index 1e3237d10..b7235b669 100644
--- a/theories/Arith/Compare_dec.v
+++ b/theories/Arith/Compare_dec.v
@@ -133,11 +133,11 @@ Qed.
See now [Nat.compare] and its properties.
In scope [nat_scope], the notation for [Nat.compare] is "?=" *)
-Notation nat_compare := Nat.compare (compat "8.4").
+Notation nat_compare := Nat.compare (compat "8.6").
-Notation nat_compare_spec := Nat.compare_spec (compat "8.4").
-Notation nat_compare_eq_iff := Nat.compare_eq_iff (compat "8.4").
-Notation nat_compare_S := Nat.compare_succ (compat "8.4").
+Notation nat_compare_spec := Nat.compare_spec (compat "8.6").
+Notation nat_compare_eq_iff := Nat.compare_eq_iff (compat "8.6").
+Notation nat_compare_S := Nat.compare_succ (only parsing).
Lemma nat_compare_lt n m : n<m <-> (n ?= m) = Lt.
Proof.
@@ -198,9 +198,9 @@ Qed.
See now [Nat.leb] and its properties.
In scope [nat_scope], the notation for [Nat.leb] is "<=?" *)
-Notation leb := Nat.leb (compat "8.4").
+Notation leb := Nat.leb (only parsing).
-Notation leb_iff := Nat.leb_le (compat "8.4").
+Notation leb_iff := Nat.leb_le (only parsing).
Lemma leb_iff_conv m n : (n <=? m) = false <-> m < n.
Proof.
diff --git a/theories/Arith/Div2.v b/theories/Arith/Div2.v
index ecb9a5706..725d65d82 100644
--- a/theories/Arith/Div2.v
+++ b/theories/Arith/Div2.v
@@ -18,7 +18,7 @@ Implicit Type n : nat.
(** Here we define [n/2] and prove some of its properties *)
-Notation div2 := Nat.div2 (compat "8.4").
+Notation div2 := Nat.div2 (only parsing).
(** Since [div2] is recursively defined on [0], [1] and [(S (S n))], it is
useful to prove the corresponding induction principle *)
@@ -84,7 +84,7 @@ Qed.
(** Properties related to the double ([2n]) *)
-Notation double := Nat.double (compat "8.4").
+Notation double := Nat.double (only parsing).
Hint Unfold double Nat.double: arith.
diff --git a/theories/Arith/EqNat.v b/theories/Arith/EqNat.v
index 722615428..a4f2d30bd 100644
--- a/theories/Arith/EqNat.v
+++ b/theories/Arith/EqNat.v
@@ -69,10 +69,10 @@ Defined.
We reuse the one already defined in module [Nat].
In scope [nat_scope], the notation "=?" can be used. *)
-Notation beq_nat := Nat.eqb (compat "8.4").
+Notation beq_nat := Nat.eqb (only parsing).
-Notation beq_nat_true_iff := Nat.eqb_eq (compat "8.4").
-Notation beq_nat_false_iff := Nat.eqb_neq (compat "8.4").
+Notation beq_nat_true_iff := Nat.eqb_eq (only parsing).
+Notation beq_nat_false_iff := Nat.eqb_neq (only parsing).
Lemma beq_nat_refl n : true = (n =? n).
Proof.
diff --git a/theories/Arith/Le.v b/theories/Arith/Le.v
index d95b05770..9fcce4520 100644
--- a/theories/Arith/Le.v
+++ b/theories/Arith/Le.v
@@ -26,17 +26,17 @@ Local Open Scope nat_scope.
(** * [le] is an order on [nat] *)
-Notation le_refl := Nat.le_refl (compat "8.4").
-Notation le_trans := Nat.le_trans (compat "8.4").
-Notation le_antisym := Nat.le_antisymm (compat "8.4").
+Notation le_refl := Nat.le_refl (only parsing).
+Notation le_trans := Nat.le_trans (only parsing).
+Notation le_antisym := Nat.le_antisymm (only parsing).
Hint Resolve le_trans: arith.
Hint Immediate le_antisym: arith.
(** * Properties of [le] w.r.t 0 *)
-Notation le_0_n := Nat.le_0_l (compat "8.4"). (* 0 <= n *)
-Notation le_Sn_0 := Nat.nle_succ_0 (compat "8.4"). (* ~ S n <= 0 *)
+Notation le_0_n := Nat.le_0_l (only parsing). (* 0 <= n *)
+Notation le_Sn_0 := Nat.nle_succ_0 (only parsing). (* ~ S n <= 0 *)
Lemma le_n_0_eq n : n <= 0 -> 0 = n.
Proof.
@@ -53,8 +53,8 @@ Proof Peano.le_n_S.
Theorem le_S_n : forall n m, S n <= S m -> n <= m.
Proof Peano.le_S_n.
-Notation le_n_Sn := Nat.le_succ_diag_r (compat "8.4"). (* n <= S n *)
-Notation le_Sn_n := Nat.nle_succ_diag_l (compat "8.4"). (* ~ S n <= n *)
+Notation le_n_Sn := Nat.le_succ_diag_r (only parsing). (* n <= S n *)
+Notation le_Sn_n := Nat.nle_succ_diag_l (only parsing). (* ~ S n <= n *)
Theorem le_Sn_le : forall n m, S n <= m -> n <= m.
Proof Nat.lt_le_incl.
@@ -65,8 +65,8 @@ Hint Immediate le_n_0_eq le_Sn_le le_S_n : arith.
(** * Properties of [le] w.r.t predecessor *)
-Notation le_pred_n := Nat.le_pred_l (compat "8.4"). (* pred n <= n *)
-Notation le_pred := Nat.pred_le_mono (compat "8.4"). (* n<=m -> pred n <= pred m *)
+Notation le_pred_n := Nat.le_pred_l (only parsing). (* pred n <= n *)
+Notation le_pred := Nat.pred_le_mono (only parsing). (* n<=m -> pred n <= pred m *)
Hint Resolve le_pred_n: arith.
diff --git a/theories/Arith/Lt.v b/theories/Arith/Lt.v
index 2c2bea4a6..7c3badce1 100644
--- a/theories/Arith/Lt.v
+++ b/theories/Arith/Lt.v
@@ -23,7 +23,7 @@ Local Open Scope nat_scope.
(** * Irreflexivity *)
-Notation lt_irrefl := Nat.lt_irrefl (compat "8.4"). (* ~ x < x *)
+Notation lt_irrefl := Nat.lt_irrefl (only parsing). (* ~ x < x *)
Hint Resolve lt_irrefl: arith.
@@ -62,12 +62,12 @@ Hint Immediate le_not_lt lt_not_le: arith.
(** * Asymmetry *)
-Notation lt_asym := Nat.lt_asymm (compat "8.4"). (* n<m -> ~m<n *)
+Notation lt_asym := Nat.lt_asymm (only parsing). (* n<m -> ~m<n *)
(** * Order and 0 *)
-Notation lt_0_Sn := Nat.lt_0_succ (compat "8.4"). (* 0 < S n *)
-Notation lt_n_0 := Nat.nlt_0_r (compat "8.4"). (* ~ n < 0 *)
+Notation lt_0_Sn := Nat.lt_0_succ (only parsing). (* 0 < S n *)
+Notation lt_n_0 := Nat.nlt_0_r (only parsing). (* ~ n < 0 *)
Theorem neq_0_lt n : 0 <> n -> 0 < n.
Proof.
@@ -84,8 +84,8 @@ Hint Immediate neq_0_lt lt_0_neq: arith.
(** * Order and successor *)
-Notation lt_n_Sn := Nat.lt_succ_diag_r (compat "8.4"). (* n < S n *)
-Notation lt_S := Nat.lt_lt_succ_r (compat "8.4"). (* n < m -> n < S m *)
+Notation lt_n_Sn := Nat.lt_succ_diag_r (only parsing). (* n < S n *)
+Notation lt_S := Nat.lt_lt_succ_r (only parsing). (* n < m -> n < S m *)
Theorem lt_n_S n m : n < m -> S n < S m.
Proof.
@@ -127,28 +127,28 @@ Hint Resolve lt_pred_n_n: arith.
(** * Transitivity properties *)
-Notation lt_trans := Nat.lt_trans (compat "8.4").
-Notation lt_le_trans := Nat.lt_le_trans (compat "8.4").
-Notation le_lt_trans := Nat.le_lt_trans (compat "8.4").
+Notation lt_trans := Nat.lt_trans (only parsing).
+Notation lt_le_trans := Nat.lt_le_trans (only parsing).
+Notation le_lt_trans := Nat.le_lt_trans (only parsing).
Hint Resolve lt_trans lt_le_trans le_lt_trans: arith.
(** * Large = strict or equal *)
-Notation le_lt_or_eq_iff := Nat.lt_eq_cases (compat "8.4").
+Notation le_lt_or_eq_iff := Nat.lt_eq_cases (only parsing).
Theorem le_lt_or_eq n m : n <= m -> n < m \/ n = m.
Proof.
apply Nat.lt_eq_cases.
Qed.
-Notation lt_le_weak := Nat.lt_le_incl (compat "8.4").
+Notation lt_le_weak := Nat.lt_le_incl (only parsing).
Hint Immediate lt_le_weak: arith.
(** * Dichotomy *)
-Notation le_or_lt := Nat.le_gt_cases (compat "8.4"). (* n <= m \/ m < n *)
+Notation le_or_lt := Nat.le_gt_cases (only parsing). (* n <= m \/ m < n *)
Theorem nat_total_order n m : n <> m -> n < m \/ m < n.
Proof.
diff --git a/theories/Arith/Minus.v b/theories/Arith/Minus.v
index 950f985d4..ffa1e048c 100644
--- a/theories/Arith/Minus.v
+++ b/theories/Arith/Minus.v
@@ -46,7 +46,7 @@ Qed.
(** * Diagonal *)
-Notation minus_diag := Nat.sub_diag (compat "8.4"). (* n - n = 0 *)
+Notation minus_diag := Nat.sub_diag (only parsing). (* n - n = 0 *)
Lemma minus_diag_reverse n : 0 = n - n.
Proof.
@@ -87,13 +87,13 @@ Qed.
(** * Relation with order *)
Notation minus_le_compat_r :=
- Nat.sub_le_mono_r (compat "8.4"). (* n <= m -> n - p <= m - p. *)
+ Nat.sub_le_mono_r (only parsing). (* n <= m -> n - p <= m - p. *)
Notation minus_le_compat_l :=
- Nat.sub_le_mono_l (compat "8.4"). (* n <= m -> p - m <= p - n. *)
+ Nat.sub_le_mono_l (only parsing). (* n <= m -> p - m <= p - n. *)
-Notation le_minus := Nat.le_sub_l (compat "8.4"). (* n - m <= n *)
-Notation lt_minus := Nat.sub_lt (compat "8.4"). (* m <= n -> 0 < m -> n-m < n *)
+Notation le_minus := Nat.le_sub_l (only parsing). (* n - m <= n *)
+Notation lt_minus := Nat.sub_lt (only parsing). (* m <= n -> 0 < m -> n-m < n *)
Lemma lt_O_minus_lt n m : 0 < n - m -> m < n.
Proof.
diff --git a/theories/Arith/Mult.v b/theories/Arith/Mult.v
index e4084ba47..4b13e145a 100644
--- a/theories/Arith/Mult.v
+++ b/theories/Arith/Mult.v
@@ -23,35 +23,35 @@ Local Open Scope nat_scope.
(** ** Zero property *)
-Notation mult_0_l := Nat.mul_0_l (compat "8.4"). (* 0 * n = 0 *)
-Notation mult_0_r := Nat.mul_0_r (compat "8.4"). (* n * 0 = 0 *)
+Notation mult_0_l := Nat.mul_0_l (only parsing). (* 0 * n = 0 *)
+Notation mult_0_r := Nat.mul_0_r (only parsing). (* n * 0 = 0 *)
(** ** 1 is neutral *)
-Notation mult_1_l := Nat.mul_1_l (compat "8.4"). (* 1 * n = n *)
-Notation mult_1_r := Nat.mul_1_r (compat "8.4"). (* n * 1 = n *)
+Notation mult_1_l := Nat.mul_1_l (only parsing). (* 1 * n = n *)
+Notation mult_1_r := Nat.mul_1_r (only parsing). (* n * 1 = n *)
Hint Resolve mult_1_l mult_1_r: arith.
(** ** Commutativity *)
-Notation mult_comm := Nat.mul_comm (compat "8.4"). (* n * m = m * n *)
+Notation mult_comm := Nat.mul_comm (only parsing). (* n * m = m * n *)
Hint Resolve mult_comm: arith.
(** ** Distributivity *)
Notation mult_plus_distr_r :=
- Nat.mul_add_distr_r (compat "8.4"). (* (n+m)*p = n*p + m*p *)
+ Nat.mul_add_distr_r (only parsing). (* (n+m)*p = n*p + m*p *)
Notation mult_plus_distr_l :=
- Nat.mul_add_distr_l (compat "8.4"). (* n*(m+p) = n*m + n*p *)
+ Nat.mul_add_distr_l (only parsing). (* n*(m+p) = n*m + n*p *)
Notation mult_minus_distr_r :=
- Nat.mul_sub_distr_r (compat "8.4"). (* (n-m)*p = n*p - m*p *)
+ Nat.mul_sub_distr_r (only parsing). (* (n-m)*p = n*p - m*p *)
Notation mult_minus_distr_l :=
- Nat.mul_sub_distr_l (compat "8.4"). (* n*(m-p) = n*m - n*p *)
+ Nat.mul_sub_distr_l (only parsing). (* n*(m-p) = n*m - n*p *)
Hint Resolve mult_plus_distr_r: arith.
Hint Resolve mult_minus_distr_r: arith.
@@ -59,7 +59,7 @@ Hint Resolve mult_minus_distr_l: arith.
(** ** Associativity *)
-Notation mult_assoc := Nat.mul_assoc (compat "8.4"). (* n*(m*p)=n*m*p *)
+Notation mult_assoc := Nat.mul_assoc (only parsing). (* n*(m*p)=n*m*p *)
Lemma mult_assoc_reverse n m p : n * m * p = n * (m * p).
Proof.
@@ -83,8 +83,8 @@ Qed.
(** ** Multiplication and successor *)
-Notation mult_succ_l := Nat.mul_succ_l (compat "8.4"). (* S n * m = n * m + m *)
-Notation mult_succ_r := Nat.mul_succ_r (compat "8.4"). (* n * S m = n * m + n *)
+Notation mult_succ_l := Nat.mul_succ_l (only parsing). (* S n * m = n * m + m *)
+Notation mult_succ_r := Nat.mul_succ_r (only parsing). (* n * S m = n * m + n *)
(** * Compatibility with orders *)
diff --git a/theories/Arith/Peano_dec.v b/theories/Arith/Peano_dec.v
index 247ea20a8..9ed08f1b1 100644
--- a/theories/Arith/Peano_dec.v
+++ b/theories/Arith/Peano_dec.v
@@ -19,7 +19,7 @@ Proof.
- left; exists n; auto.
Defined.
-Notation eq_nat_dec := Nat.eq_dec (compat "8.4").
+Notation eq_nat_dec := Nat.eq_dec (only parsing).
Hint Resolve O_or_S eq_nat_dec: arith.
diff --git a/theories/Arith/Plus.v b/theories/Arith/Plus.v
index 600e5e518..3e44bbfe5 100644
--- a/theories/Arith/Plus.v
+++ b/theories/Arith/Plus.v
@@ -27,12 +27,12 @@ Local Open Scope nat_scope.
(** * Neutrality of 0, commutativity, associativity *)
-Notation plus_0_l := Nat.add_0_l (compat "8.4").
-Notation plus_0_r := Nat.add_0_r (compat "8.4").
-Notation plus_comm := Nat.add_comm (compat "8.4").
-Notation plus_assoc := Nat.add_assoc (compat "8.4").
+Notation plus_0_l := Nat.add_0_l (only parsing).
+Notation plus_0_r := Nat.add_0_r (only parsing).
+Notation plus_comm := Nat.add_comm (only parsing).
+Notation plus_assoc := Nat.add_assoc (only parsing).
-Notation plus_permute := Nat.add_shuffle3 (compat "8.4").
+Notation plus_permute := Nat.add_shuffle3 (only parsing).
Definition plus_Snm_nSm : forall n m, S n + m = n + S m :=
Peano.plus_n_Sm.
@@ -138,7 +138,7 @@ Defined.
(** * Derived properties *)
-Notation plus_permute_2_in_4 := Nat.add_shuffle1 (compat "8.4").
+Notation plus_permute_2_in_4 := Nat.add_shuffle1 (only parsing).
(** * Tail-recursive plus *)
diff --git a/theories/Compat/Coq85.v b/theories/Compat/Coq85.v
deleted file mode 100644
index 56a9130d1..000000000
--- a/theories/Compat/Coq85.v
+++ /dev/null
@@ -1,36 +0,0 @@
-(************************************************************************)
-(* v * The Coq Proof Assistant / The Coq Development Team *)
-(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *)
-(* \VV/ **************************************************************)
-(* // * This file is distributed under the terms of the *)
-(* * GNU Lesser General Public License Version 2.1 *)
-(************************************************************************)
-
-(** Compatibility file for making Coq act similar to Coq v8.5 *)
-
-(** Any compatibility changes to make future versions of Coq behave like Coq 8.6
- are likely needed to make them behave like Coq 8.5. *)
-Require Export Coq.Compat.Coq86.
-
-(** We use some deprecated options in this file, so we disable the
- corresponding warning, to silence the build of this file. *)
-Local Set Warnings "-deprecated-option".
-
-(* In 8.5, "intros [|]", taken e.g. on a goal "A\/B->C", does not
- behave as "intros [H|H]" but leave instead hypotheses quantified in
- the goal, here producing subgoals A->C and B->C. *)
-
-Global Unset Bracketing Last Introduction Pattern.
-Global Unset Regular Subst Tactic.
-Global Unset Structural Injection.
-Global Unset Shrink Abstract.
-Global Unset Shrink Obligations.
-Global Set Refolding Reduction.
-
-(** The resolution algorithm for type classes has changed. *)
-Global Set Typeclasses Legacy Resolution.
-Global Set Typeclasses Limit Intros.
-Global Unset Typeclasses Filtered Unification.
-
-(** Allow silently letting unification constraints float after a "." *)
-Global Unset Solve Unification Constraints.
diff --git a/theories/FSets/FMapFacts.v b/theories/FSets/FMapFacts.v
index 3c5690a72..5ae22c497 100644
--- a/theories/FSets/FMapFacts.v
+++ b/theories/FSets/FMapFacts.v
@@ -24,7 +24,7 @@ Hint Extern 1 (Equivalence _) => constructor; congruence.
Module WFacts_fun (E:DecidableType)(Import M:WSfun E).
-Notation option_map := option_map (compat "8.4").
+Notation option_map := option_map (compat "8.6").
Notation eq_dec := E.eq_dec.
Definition eqb x y := if eq_dec x y then true else false.
@@ -440,7 +440,7 @@ destruct (eq_dec x y); auto.
Qed.
Lemma map_o : forall m x (f:elt->elt'),
- find x (map f m) = option_map f (find x m).
+ find x (map f m) = Datatypes.option_map f (find x m).
Proof.
intros.
generalize (find_mapsto_iff (map f m) x) (find_mapsto_iff m x)
@@ -473,7 +473,7 @@ Qed.
Lemma mapi_o : forall m x (f:key->elt->elt'),
(forall x y e, E.eq x y -> f x e = f y e) ->
- find x (mapi f m) = option_map (f x) (find x m).
+ find x (mapi f m) = Datatypes.option_map (f x) (find x m).
Proof.
intros.
generalize (find_mapsto_iff (mapi f m) x) (find_mapsto_iff m x)
diff --git a/theories/Init/Datatypes.v b/theories/Init/Datatypes.v
index 22e10e2e4..84ec90785 100644
--- a/theories/Init/Datatypes.v
+++ b/theories/Init/Datatypes.v
@@ -359,14 +359,14 @@ Definition idProp : IDProp := fun A x => x.
(* Compatibility *)
-Notation prodT := prod (compat "8.2").
-Notation pairT := pair (compat "8.2").
-Notation prodT_rect := prod_rect (compat "8.2").
-Notation prodT_rec := prod_rec (compat "8.2").
-Notation prodT_ind := prod_ind (compat "8.2").
-Notation fstT := fst (compat "8.2").
-Notation sndT := snd (compat "8.2").
-Notation prodT_uncurry := prod_uncurry (compat "8.2").
-Notation prodT_curry := prod_curry (compat "8.2").
+Notation prodT := prod (only parsing).
+Notation pairT := pair (only parsing).
+Notation prodT_rect := prod_rect (only parsing).
+Notation prodT_rec := prod_rec (only parsing).
+Notation prodT_ind := prod_ind (only parsing).
+Notation fstT := fst (only parsing).
+Notation sndT := snd (only parsing).
+Notation prodT_uncurry := prod_uncurry (only parsing).
+Notation prodT_curry := prod_curry (only parsing).
(* end hide *)
diff --git a/theories/Init/Logic.v b/theories/Init/Logic.v
index 053ed601f..2209d13ff 100644
--- a/theories/Init/Logic.v
+++ b/theories/Init/Logic.v
@@ -549,14 +549,14 @@ Qed.
(* Aliases *)
-Notation sym_eq := eq_sym (compat "8.3").
-Notation trans_eq := eq_trans (compat "8.3").
-Notation sym_not_eq := not_eq_sym (compat "8.3").
-
-Notation refl_equal := eq_refl (compat "8.3").
-Notation sym_equal := eq_sym (compat "8.3").
-Notation trans_equal := eq_trans (compat "8.3").
-Notation sym_not_equal := not_eq_sym (compat "8.3").
+Notation sym_eq := eq_sym (only parsing).
+Notation trans_eq := eq_trans (only parsing).
+Notation sym_not_eq := not_eq_sym (only parsing).
+
+Notation refl_equal := eq_refl (only parsing).
+Notation sym_equal := eq_sym (only parsing).
+Notation trans_equal := eq_trans (only parsing).
+Notation sym_not_equal := not_eq_sym (only parsing).
Hint Immediate eq_sym not_eq_sym: core.
diff --git a/theories/Init/Logic_Type.v b/theories/Init/Logic_Type.v
index 567d2c15c..3244fa14c 100644
--- a/theories/Init/Logic_Type.v
+++ b/theories/Init/Logic_Type.v
@@ -66,7 +66,7 @@ Defined.
Hint Immediate identity_sym not_identity_sym: core.
-Notation refl_id := identity_refl (compat "8.3").
-Notation sym_id := identity_sym (compat "8.3").
-Notation trans_id := identity_trans (compat "8.3").
-Notation sym_not_id := not_identity_sym (compat "8.3").
+Notation refl_id := identity_refl (only parsing).
+Notation sym_id := identity_sym (only parsing).
+Notation trans_id := identity_trans (only parsing).
+Notation sym_not_id := not_identity_sym (only parsing).
diff --git a/theories/Init/Peano.v b/theories/Init/Peano.v
index 571d2f2dd..857913c3e 100644
--- a/theories/Init/Peano.v
+++ b/theories/Init/Peano.v
@@ -37,7 +37,7 @@ Hint Resolve f_equal_nat: core.
(** The predecessor function *)
-Notation pred := Nat.pred (compat "8.4").
+Notation pred := Nat.pred (only parsing).
Definition f_equal_pred := f_equal pred.
@@ -79,7 +79,7 @@ Hint Resolve n_Sn: core.
(** Addition *)
-Notation plus := Nat.add (compat "8.4").
+Notation plus := Nat.add (only parsing).
Infix "+" := Nat.add : nat_scope.
Definition f_equal2_plus := f_equal2 plus.
@@ -110,12 +110,12 @@ Qed.
(** Standard associated names *)
-Notation plus_0_r_reverse := plus_n_O (compat "8.2").
-Notation plus_succ_r_reverse := plus_n_Sm (compat "8.2").
+Notation plus_0_r_reverse := plus_n_O (only parsing).
+Notation plus_succ_r_reverse := plus_n_Sm (only parsing).
(** Multiplication *)
-Notation mult := Nat.mul (compat "8.4").
+Notation mult := Nat.mul (only parsing).
Infix "*" := Nat.mul : nat_scope.
Definition f_equal2_mult := f_equal2 mult.
@@ -137,12 +137,12 @@ Hint Resolve mult_n_Sm: core.
(** Standard associated names *)
-Notation mult_0_r_reverse := mult_n_O (compat "8.2").
-Notation mult_succ_r_reverse := mult_n_Sm (compat "8.2").
+Notation mult_0_r_reverse := mult_n_O (only parsing).
+Notation mult_succ_r_reverse := mult_n_Sm (only parsing).
(** Truncated subtraction: [m-n] is [0] if [n>=m] *)
-Notation minus := Nat.sub (compat "8.4").
+Notation minus := Nat.sub (only parsing).
Infix "-" := Nat.sub : nat_scope.
(** Definition of the usual orders, the basic properties of [le] and [lt]
@@ -219,8 +219,8 @@ Qed.
(** Maximum and minimum : definitions and specifications *)
-Notation max := Nat.max (compat "8.4").
-Notation min := Nat.min (compat "8.4").
+Notation max := Nat.max (only parsing).
+Notation min := Nat.min (only parsing).
Lemma max_l n m : m <= n -> Nat.max n m = n.
Proof.
diff --git a/theories/Init/Specif.v b/theories/Init/Specif.v
index 47e8a7558..e9d6a1597 100644
--- a/theories/Init/Specif.v
+++ b/theories/Init/Specif.v
@@ -742,16 +742,16 @@ Hint Resolve exist exist2 existT existT2: core.
(* Compatibility *)
-Notation sigS := sigT (compat "8.2").
-Notation existS := existT (compat "8.2").
-Notation sigS_rect := sigT_rect (compat "8.2").
-Notation sigS_rec := sigT_rec (compat "8.2").
-Notation sigS_ind := sigT_ind (compat "8.2").
-Notation projS1 := projT1 (compat "8.2").
-Notation projS2 := projT2 (compat "8.2").
-
-Notation sigS2 := sigT2 (compat "8.2").
-Notation existS2 := existT2 (compat "8.2").
-Notation sigS2_rect := sigT2_rect (compat "8.2").
-Notation sigS2_rec := sigT2_rec (compat "8.2").
-Notation sigS2_ind := sigT2_ind (compat "8.2").
+Notation sigS := sigT (compat "8.6").
+Notation existS := existT (compat "8.6").
+Notation sigS_rect := sigT_rect (compat "8.6").
+Notation sigS_rec := sigT_rec (compat "8.6").
+Notation sigS_ind := sigT_ind (compat "8.6").
+Notation projS1 := projT1 (compat "8.6").
+Notation projS2 := projT2 (compat "8.6").
+
+Notation sigS2 := sigT2 (compat "8.6").
+Notation existS2 := existT2 (compat "8.6").
+Notation sigS2_rect := sigT2_rect (compat "8.6").
+Notation sigS2_rec := sigT2_rec (compat "8.6").
+Notation sigS2_ind := sigT2_ind (compat "8.6").
diff --git a/theories/Lists/List.v b/theories/Lists/List.v
index eae2c52de..301528598 100644
--- a/theories/Lists/List.v
+++ b/theories/Lists/List.v
@@ -27,7 +27,6 @@ Module ListNotations.
Notation "[ ]" := nil (format "[ ]") : list_scope.
Notation "[ x ]" := (cons x nil) : list_scope.
Notation "[ x ; y ; .. ; z ]" := (cons x (cons y .. (cons z nil) ..)) : list_scope.
-Notation "[ x ; .. ; y ]" := (cons x .. (cons y nil) ..) (compat "8.4") : list_scope.
End ListNotations.
Import ListNotations.
diff --git a/theories/Logic/ChoiceFacts.v b/theories/Logic/ChoiceFacts.v
index 78ec8ff24..e9b90b52c 100644
--- a/theories/Logic/ChoiceFacts.v
+++ b/theories/Logic/ChoiceFacts.v
@@ -1308,11 +1308,11 @@ Qed.
(**********************************************************************)
(** * Compatibility notations *)
Notation description_rel_choice_imp_funct_choice :=
- functional_rel_reification_and_rel_choice_imp_fun_choice (compat "8.6").
+ functional_rel_reification_and_rel_choice_imp_fun_choice (only parsing).
-Notation funct_choice_imp_rel_choice := fun_choice_imp_rel_choice (compat "8.6").
+Notation funct_choice_imp_rel_choice := fun_choice_imp_rel_choice (only parsing).
Notation FunChoice_Equiv_RelChoice_and_ParamDefinDescr :=
- fun_choice_iff_rel_choice_and_functional_rel_reification (compat "8.6").
+ fun_choice_iff_rel_choice_and_functional_rel_reification (only parsing).
-Notation funct_choice_imp_description := fun_choice_imp_functional_rel_reification (compat "8.6").
+Notation funct_choice_imp_description := fun_choice_imp_functional_rel_reification (only parsing).
diff --git a/theories/Logic/EqdepFacts.v b/theories/Logic/EqdepFacts.v
index c9dca432a..af7fcb3fe 100644
--- a/theories/Logic/EqdepFacts.v
+++ b/theories/Logic/EqdepFacts.v
@@ -123,7 +123,7 @@ Proof.
apply eq_dep_intro.
Qed.
-Notation eq_sigS_eq_dep := eq_sigT_eq_dep (compat "8.2"). (* Compatibility *)
+Notation eq_sigS_eq_dep := eq_sigT_eq_dep (compat "8.6"). (* Compatibility *)
Lemma eq_dep_eq_sigT :
forall (U:Type) (P:U -> Type) (p q:U) (x:P p) (y:P q),
diff --git a/theories/NArith/BinNat.v b/theories/NArith/BinNat.v
index 75a8bfdb3..fcee77b82 100644
--- a/theories/NArith/BinNat.v
+++ b/theories/NArith/BinNat.v
@@ -956,95 +956,94 @@ Notation "( p | q )" := (N.divide p q) (at level 0) : N_scope.
(** Compatibility notations *)
-(*Notation N := N (compat "8.3").*) (*hidden by module N above *)
Notation N_rect := N_rect (only parsing).
Notation N_rec := N_rec (only parsing).
Notation N_ind := N_ind (only parsing).
Notation N0 := N0 (only parsing).
Notation Npos := N.pos (only parsing).
-Notation Ndiscr := N.discr (compat "8.3").
-Notation Ndouble_plus_one := N.succ_double (compat "8.3").
-Notation Ndouble := N.double (compat "8.3").
-Notation Nsucc := N.succ (compat "8.3").
-Notation Npred := N.pred (compat "8.3").
-Notation Nsucc_pos := N.succ_pos (compat "8.3").
-Notation Ppred_N := Pos.pred_N (compat "8.3").
-Notation Nplus := N.add (compat "8.3").
-Notation Nminus := N.sub (compat "8.3").
-Notation Nmult := N.mul (compat "8.3").
-Notation Neqb := N.eqb (compat "8.3").
-Notation Ncompare := N.compare (compat "8.3").
-Notation Nlt := N.lt (compat "8.3").
-Notation Ngt := N.gt (compat "8.3").
-Notation Nle := N.le (compat "8.3").
-Notation Nge := N.ge (compat "8.3").
-Notation Nmin := N.min (compat "8.3").
-Notation Nmax := N.max (compat "8.3").
-Notation Ndiv2 := N.div2 (compat "8.3").
-Notation Neven := N.even (compat "8.3").
-Notation Nodd := N.odd (compat "8.3").
-Notation Npow := N.pow (compat "8.3").
-Notation Nlog2 := N.log2 (compat "8.3").
-
-Notation nat_of_N := N.to_nat (compat "8.3").
-Notation N_of_nat := N.of_nat (compat "8.3").
-Notation N_eq_dec := N.eq_dec (compat "8.3").
-Notation Nrect := N.peano_rect (compat "8.3").
-Notation Nrect_base := N.peano_rect_base (compat "8.3").
-Notation Nrect_step := N.peano_rect_succ (compat "8.3").
-Notation Nind := N.peano_ind (compat "8.3").
-Notation Nrec := N.peano_rec (compat "8.3").
-Notation Nrec_base := N.peano_rec_base (compat "8.3").
-Notation Nrec_succ := N.peano_rec_succ (compat "8.3").
-
-Notation Npred_succ := N.pred_succ (compat "8.3").
-Notation Npred_minus := N.pred_sub (compat "8.3").
-Notation Nsucc_pred := N.succ_pred (compat "8.3").
-Notation Ppred_N_spec := N.pos_pred_spec (compat "8.3").
-Notation Nsucc_pos_spec := N.succ_pos_spec (compat "8.3").
-Notation Ppred_Nsucc := N.pos_pred_succ (compat "8.3").
-Notation Nplus_0_l := N.add_0_l (compat "8.3").
-Notation Nplus_0_r := N.add_0_r (compat "8.3").
-Notation Nplus_comm := N.add_comm (compat "8.3").
-Notation Nplus_assoc := N.add_assoc (compat "8.3").
-Notation Nplus_succ := N.add_succ_l (compat "8.3").
-Notation Nsucc_0 := N.succ_0_discr (compat "8.3").
-Notation Nsucc_inj := N.succ_inj (compat "8.3").
-Notation Nminus_N0_Nle := N.sub_0_le (compat "8.3").
-Notation Nminus_0_r := N.sub_0_r (compat "8.3").
-Notation Nminus_succ_r:= N.sub_succ_r (compat "8.3").
-Notation Nmult_0_l := N.mul_0_l (compat "8.3").
-Notation Nmult_1_l := N.mul_1_l (compat "8.3").
-Notation Nmult_1_r := N.mul_1_r (compat "8.3").
-Notation Nmult_comm := N.mul_comm (compat "8.3").
-Notation Nmult_assoc := N.mul_assoc (compat "8.3").
-Notation Nmult_plus_distr_r := N.mul_add_distr_r (compat "8.3").
-Notation Neqb_eq := N.eqb_eq (compat "8.3").
-Notation Nle_0 := N.le_0_l (compat "8.3").
-Notation Ncompare_refl := N.compare_refl (compat "8.3").
-Notation Ncompare_Eq_eq := N.compare_eq (compat "8.3").
-Notation Ncompare_eq_correct := N.compare_eq_iff (compat "8.3").
-Notation Nlt_irrefl := N.lt_irrefl (compat "8.3").
-Notation Nlt_trans := N.lt_trans (compat "8.3").
-Notation Nle_lteq := N.lt_eq_cases (compat "8.3").
-Notation Nlt_succ_r := N.lt_succ_r (compat "8.3").
-Notation Nle_trans := N.le_trans (compat "8.3").
-Notation Nle_succ_l := N.le_succ_l (compat "8.3").
-Notation Ncompare_spec := N.compare_spec (compat "8.3").
-Notation Ncompare_0 := N.compare_0_r (compat "8.3").
-Notation Ndouble_div2 := N.div2_double (compat "8.3").
-Notation Ndouble_plus_one_div2 := N.div2_succ_double (compat "8.3").
-Notation Ndouble_inj := N.double_inj (compat "8.3").
-Notation Ndouble_plus_one_inj := N.succ_double_inj (compat "8.3").
-Notation Npow_0_r := N.pow_0_r (compat "8.3").
-Notation Npow_succ_r := N.pow_succ_r (compat "8.3").
-Notation Nlog2_spec := N.log2_spec (compat "8.3").
-Notation Nlog2_nonpos := N.log2_nonpos (compat "8.3").
-Notation Neven_spec := N.even_spec (compat "8.3").
-Notation Nodd_spec := N.odd_spec (compat "8.3").
-Notation Nlt_not_eq := N.lt_neq (compat "8.3").
-Notation Ngt_Nlt := N.gt_lt (compat "8.3").
+Notation Ndiscr := N.discr (compat "8.6").
+Notation Ndouble_plus_one := N.succ_double (only parsing).
+Notation Ndouble := N.double (compat "8.6").
+Notation Nsucc := N.succ (compat "8.6").
+Notation Npred := N.pred (compat "8.6").
+Notation Nsucc_pos := N.succ_pos (compat "8.6").
+Notation Ppred_N := Pos.pred_N (compat "8.6").
+Notation Nplus := N.add (only parsing).
+Notation Nminus := N.sub (only parsing).
+Notation Nmult := N.mul (only parsing).
+Notation Neqb := N.eqb (compat "8.6").
+Notation Ncompare := N.compare (compat "8.6").
+Notation Nlt := N.lt (compat "8.6").
+Notation Ngt := N.gt (compat "8.6").
+Notation Nle := N.le (compat "8.6").
+Notation Nge := N.ge (compat "8.6").
+Notation Nmin := N.min (compat "8.6").
+Notation Nmax := N.max (compat "8.6").
+Notation Ndiv2 := N.div2 (compat "8.6").
+Notation Neven := N.even (compat "8.6").
+Notation Nodd := N.odd (compat "8.6").
+Notation Npow := N.pow (compat "8.6").
+Notation Nlog2 := N.log2 (compat "8.6").
+
+Notation nat_of_N := N.to_nat (only parsing).
+Notation N_of_nat := N.of_nat (only parsing).
+Notation N_eq_dec := N.eq_dec (compat "8.6").
+Notation Nrect := N.peano_rect (only parsing).
+Notation Nrect_base := N.peano_rect_base (only parsing).
+Notation Nrect_step := N.peano_rect_succ (only parsing).
+Notation Nind := N.peano_ind (only parsing).
+Notation Nrec := N.peano_rec (only parsing).
+Notation Nrec_base := N.peano_rec_base (only parsing).
+Notation Nrec_succ := N.peano_rec_succ (only parsing).
+
+Notation Npred_succ := N.pred_succ (compat "8.6").
+Notation Npred_minus := N.pred_sub (only parsing).
+Notation Nsucc_pred := N.succ_pred (compat "8.6").
+Notation Ppred_N_spec := N.pos_pred_spec (only parsing).
+Notation Nsucc_pos_spec := N.succ_pos_spec (compat "8.6").
+Notation Ppred_Nsucc := N.pos_pred_succ (only parsing).
+Notation Nplus_0_l := N.add_0_l (only parsing).
+Notation Nplus_0_r := N.add_0_r (only parsing).
+Notation Nplus_comm := N.add_comm (only parsing).
+Notation Nplus_assoc := N.add_assoc (only parsing).
+Notation Nplus_succ := N.add_succ_l (only parsing).
+Notation Nsucc_0 := N.succ_0_discr (only parsing).
+Notation Nsucc_inj := N.succ_inj (compat "8.6").
+Notation Nminus_N0_Nle := N.sub_0_le (only parsing).
+Notation Nminus_0_r := N.sub_0_r (only parsing).
+Notation Nminus_succ_r:= N.sub_succ_r (only parsing).
+Notation Nmult_0_l := N.mul_0_l (only parsing).
+Notation Nmult_1_l := N.mul_1_l (only parsing).
+Notation Nmult_1_r := N.mul_1_r (only parsing).
+Notation Nmult_comm := N.mul_comm (only parsing).
+Notation Nmult_assoc := N.mul_assoc (only parsing).
+Notation Nmult_plus_distr_r := N.mul_add_distr_r (only parsing).
+Notation Neqb_eq := N.eqb_eq (compat "8.6").
+Notation Nle_0 := N.le_0_l (only parsing).
+Notation Ncompare_refl := N.compare_refl (compat "8.6").
+Notation Ncompare_Eq_eq := N.compare_eq (only parsing).
+Notation Ncompare_eq_correct := N.compare_eq_iff (only parsing).
+Notation Nlt_irrefl := N.lt_irrefl (compat "8.6").
+Notation Nlt_trans := N.lt_trans (compat "8.6").
+Notation Nle_lteq := N.lt_eq_cases (only parsing).
+Notation Nlt_succ_r := N.lt_succ_r (compat "8.6").
+Notation Nle_trans := N.le_trans (compat "8.6").
+Notation Nle_succ_l := N.le_succ_l (compat "8.6").
+Notation Ncompare_spec := N.compare_spec (compat "8.6").
+Notation Ncompare_0 := N.compare_0_r (only parsing).
+Notation Ndouble_div2 := N.div2_double (only parsing).
+Notation Ndouble_plus_one_div2 := N.div2_succ_double (only parsing).
+Notation Ndouble_inj := N.double_inj (compat "8.6").
+Notation Ndouble_plus_one_inj := N.succ_double_inj (only parsing).
+Notation Npow_0_r := N.pow_0_r (compat "8.6").
+Notation Npow_succ_r := N.pow_succ_r (compat "8.6").
+Notation Nlog2_spec := N.log2_spec (compat "8.6").
+Notation Nlog2_nonpos := N.log2_nonpos (compat "8.6").
+Notation Neven_spec := N.even_spec (compat "8.6").
+Notation Nodd_spec := N.odd_spec (compat "8.6").
+Notation Nlt_not_eq := N.lt_neq (only parsing).
+Notation Ngt_Nlt := N.gt_lt (only parsing).
(** More complex compatibility facts, expressed as lemmas
(to preserve scopes for instance) *)
diff --git a/theories/NArith/Ndec.v b/theories/NArith/Ndec.v
index 892bbe7cd..494a80f4a 100644
--- a/theories/NArith/Ndec.v
+++ b/theories/NArith/Ndec.v
@@ -20,11 +20,11 @@ Local Open Scope N_scope.
(** Obsolete results about boolean comparisons over [N],
kept for compatibility with IntMap and SMC. *)
-Notation Peqb := Pos.eqb (compat "8.3").
-Notation Neqb := N.eqb (compat "8.3").
-Notation Peqb_correct := Pos.eqb_refl (compat "8.3").
-Notation Neqb_correct := N.eqb_refl (compat "8.3").
-Notation Neqb_comm := N.eqb_sym (compat "8.3").
+Notation Peqb := Pos.eqb (compat "8.6").
+Notation Neqb := N.eqb (compat "8.6").
+Notation Peqb_correct := Pos.eqb_refl (only parsing).
+Notation Neqb_correct := N.eqb_refl (only parsing).
+Notation Neqb_comm := N.eqb_sym (only parsing).
Lemma Peqb_complete p p' : Pos.eqb p p' = true -> p = p'.
Proof. now apply Pos.eqb_eq. Qed.
@@ -274,7 +274,7 @@ Qed.
(* Old results about [N.min] *)
-Notation Nmin_choice := N.min_dec (compat "8.3").
+Notation Nmin_choice := N.min_dec (only parsing).
Lemma Nmin_le_1 a b : Nleb (N.min a b) a = true.
Proof. rewrite Nleb_Nle. apply N.le_min_l. Qed.
diff --git a/theories/NArith/Ndigits.v b/theories/NArith/Ndigits.v
index 9aadf985d..835f500a7 100644
--- a/theories/NArith/Ndigits.v
+++ b/theories/NArith/Ndigits.v
@@ -14,17 +14,17 @@ Local Open Scope N_scope.
(** Compatibility names for some bitwise operations *)
-Notation Pxor := Pos.lxor (compat "8.3").
-Notation Nxor := N.lxor (compat "8.3").
-Notation Pbit := Pos.testbit_nat (compat "8.3").
-Notation Nbit := N.testbit_nat (compat "8.3").
-
-Notation Nxor_eq := N.lxor_eq (compat "8.3").
-Notation Nxor_comm := N.lxor_comm (compat "8.3").
-Notation Nxor_assoc := N.lxor_assoc (compat "8.3").
-Notation Nxor_neutral_left := N.lxor_0_l (compat "8.3").
-Notation Nxor_neutral_right := N.lxor_0_r (compat "8.3").
-Notation Nxor_nilpotent := N.lxor_nilpotent (compat "8.3").
+Notation Pxor := Pos.lxor (only parsing).
+Notation Nxor := N.lxor (only parsing).
+Notation Pbit := Pos.testbit_nat (only parsing).
+Notation Nbit := N.testbit_nat (only parsing).
+
+Notation Nxor_eq := N.lxor_eq (only parsing).
+Notation Nxor_comm := N.lxor_comm (only parsing).
+Notation Nxor_assoc := N.lxor_assoc (only parsing).
+Notation Nxor_neutral_left := N.lxor_0_l (only parsing).
+Notation Nxor_neutral_right := N.lxor_0_r (only parsing).
+Notation Nxor_nilpotent := N.lxor_nilpotent (only parsing).
(** Equivalence of bit-testing functions,
either with index in [N] or in [nat]. *)
@@ -249,7 +249,7 @@ Local Close Scope N_scope.
(** Checking whether a number is odd, i.e.
if its lower bit is set. *)
-Notation Nbit0 := N.odd (compat "8.3").
+Notation Nbit0 := N.odd (only parsing).
Definition Nodd (n:N) := N.odd n = true.
Definition Neven (n:N) := N.odd n = false.
@@ -498,7 +498,7 @@ Qed.
(** Number of digits in a number *)
-Notation Nsize := N.size_nat (compat "8.3").
+Notation Nsize := N.size_nat (only parsing).
(** conversions between N and bit vectors. *)
diff --git a/theories/NArith/Ndiv_def.v b/theories/NArith/Ndiv_def.v
index 974e93994..6e2893a9b 100644
--- a/theories/NArith/Ndiv_def.v
+++ b/theories/NArith/Ndiv_def.v
@@ -22,10 +22,10 @@ Lemma Pdiv_eucl_remainder a b :
snd (Pdiv_eucl a b) < Npos b.
Proof. now apply (N.pos_div_eucl_remainder a (Npos b)). Qed.
-Notation Ndiv_eucl := N.div_eucl (compat "8.3").
-Notation Ndiv := N.div (compat "8.3").
-Notation Nmod := N.modulo (compat "8.3").
+Notation Ndiv_eucl := N.div_eucl (compat "8.6").
+Notation Ndiv := N.div (compat "8.6").
+Notation Nmod := N.modulo (only parsing).
-Notation Ndiv_eucl_correct := N.div_eucl_spec (compat "8.3").
-Notation Ndiv_mod_eq := N.div_mod' (compat "8.3").
-Notation Nmod_lt := N.mod_lt (compat "8.3").
+Notation Ndiv_eucl_correct := N.div_eucl_spec (only parsing).
+Notation Ndiv_mod_eq := N.div_mod' (only parsing).
+Notation Nmod_lt := N.mod_lt (compat "8.6").
diff --git a/theories/NArith/Nnat.v b/theories/NArith/Nnat.v
index 798ab2828..da66a16d6 100644
--- a/theories/NArith/Nnat.v
+++ b/theories/NArith/Nnat.v
@@ -208,30 +208,30 @@ Hint Rewrite Nat2N.id : Nnat.
(** Compatibility notations *)
-Notation nat_of_N_inj := N2Nat.inj (compat "8.3").
-Notation N_of_nat_of_N := N2Nat.id (compat "8.3").
-Notation nat_of_Ndouble := N2Nat.inj_double (compat "8.3").
-Notation nat_of_Ndouble_plus_one := N2Nat.inj_succ_double (compat "8.3").
-Notation nat_of_Nsucc := N2Nat.inj_succ (compat "8.3").
-Notation nat_of_Nplus := N2Nat.inj_add (compat "8.3").
-Notation nat_of_Nmult := N2Nat.inj_mul (compat "8.3").
-Notation nat_of_Nminus := N2Nat.inj_sub (compat "8.3").
-Notation nat_of_Npred := N2Nat.inj_pred (compat "8.3").
-Notation nat_of_Ndiv2 := N2Nat.inj_div2 (compat "8.3").
-Notation nat_of_Ncompare := N2Nat.inj_compare (compat "8.3").
-Notation nat_of_Nmax := N2Nat.inj_max (compat "8.3").
-Notation nat_of_Nmin := N2Nat.inj_min (compat "8.3").
-
-Notation nat_of_N_of_nat := Nat2N.id (compat "8.3").
-Notation N_of_nat_inj := Nat2N.inj (compat "8.3").
-Notation N_of_double := Nat2N.inj_double (compat "8.3").
-Notation N_of_double_plus_one := Nat2N.inj_succ_double (compat "8.3").
-Notation N_of_S := Nat2N.inj_succ (compat "8.3").
-Notation N_of_pred := Nat2N.inj_pred (compat "8.3").
-Notation N_of_plus := Nat2N.inj_add (compat "8.3").
-Notation N_of_minus := Nat2N.inj_sub (compat "8.3").
-Notation N_of_mult := Nat2N.inj_mul (compat "8.3").
-Notation N_of_div2 := Nat2N.inj_div2 (compat "8.3").
-Notation N_of_nat_compare := Nat2N.inj_compare (compat "8.3").
-Notation N_of_min := Nat2N.inj_min (compat "8.3").
-Notation N_of_max := Nat2N.inj_max (compat "8.3").
+Notation nat_of_N_inj := N2Nat.inj (only parsing).
+Notation N_of_nat_of_N := N2Nat.id (only parsing).
+Notation nat_of_Ndouble := N2Nat.inj_double (only parsing).
+Notation nat_of_Ndouble_plus_one := N2Nat.inj_succ_double (only parsing).
+Notation nat_of_Nsucc := N2Nat.inj_succ (only parsing).
+Notation nat_of_Nplus := N2Nat.inj_add (only parsing).
+Notation nat_of_Nmult := N2Nat.inj_mul (only parsing).
+Notation nat_of_Nminus := N2Nat.inj_sub (only parsing).
+Notation nat_of_Npred := N2Nat.inj_pred (only parsing).
+Notation nat_of_Ndiv2 := N2Nat.inj_div2 (only parsing).
+Notation nat_of_Ncompare := N2Nat.inj_compare (only parsing).
+Notation nat_of_Nmax := N2Nat.inj_max (only parsing).
+Notation nat_of_Nmin := N2Nat.inj_min (only parsing).
+
+Notation nat_of_N_of_nat := Nat2N.id (only parsing).
+Notation N_of_nat_inj := Nat2N.inj (only parsing).
+Notation N_of_double := Nat2N.inj_double (only parsing).
+Notation N_of_double_plus_one := Nat2N.inj_succ_double (only parsing).
+Notation N_of_S := Nat2N.inj_succ (only parsing).
+Notation N_of_pred := Nat2N.inj_pred (only parsing).
+Notation N_of_plus := Nat2N.inj_add (only parsing).
+Notation N_of_minus := Nat2N.inj_sub (only parsing).
+Notation N_of_mult := Nat2N.inj_mul (only parsing).
+Notation N_of_div2 := Nat2N.inj_div2 (only parsing).
+Notation N_of_nat_compare := Nat2N.inj_compare (only parsing).
+Notation N_of_min := Nat2N.inj_min (only parsing).
+Notation N_of_max := Nat2N.inj_max (only parsing).
diff --git a/theories/NArith/Nsqrt_def.v b/theories/NArith/Nsqrt_def.v
index 97de41c20..61e86eab7 100644
--- a/theories/NArith/Nsqrt_def.v
+++ b/theories/NArith/Nsqrt_def.v
@@ -11,8 +11,8 @@ Require Import BinNat.
(** Obsolete file, see [BinNat] now,
only compatibility notations remain here. *)
-Notation Nsqrtrem := N.sqrtrem (compat "8.3").
-Notation Nsqrt := N.sqrt (compat "8.3").
-Notation Nsqrtrem_spec := N.sqrtrem_spec (compat "8.3").
-Notation Nsqrt_spec := (fun n => N.sqrt_spec n (N.le_0_l n)) (compat "8.3").
-Notation Nsqrtrem_sqrt := N.sqrtrem_sqrt (compat "8.3").
+Notation Nsqrtrem := N.sqrtrem (compat "8.6").
+Notation Nsqrt := N.sqrt (compat "8.6").
+Notation Nsqrtrem_spec := N.sqrtrem_spec (compat "8.6").
+Notation Nsqrt_spec := (fun n => N.sqrt_spec n (N.le_0_l n)) (only parsing).
+Notation Nsqrtrem_sqrt := N.sqrtrem_sqrt (compat "8.6").
diff --git a/theories/Numbers/Natural/Peano/NPeano.v b/theories/Numbers/Natural/Peano/NPeano.v
index 787ef81dc..c75138fbd 100644
--- a/theories/Numbers/Natural/Peano/NPeano.v
+++ b/theories/Numbers/Natural/Peano/NPeano.v
@@ -18,74 +18,74 @@ Module Nat <: NAxiomsSig := Nat.
(** Compat notations for stuff that used to be at the beginning of NPeano. *)
-Notation leb := Nat.leb (compat "8.4").
-Notation ltb := Nat.ltb (compat "8.4").
-Notation leb_le := Nat.leb_le (compat "8.4").
-Notation ltb_lt := Nat.ltb_lt (compat "8.4").
-Notation pow := Nat.pow (compat "8.4").
-Notation pow_0_r := Nat.pow_0_r (compat "8.4").
-Notation pow_succ_r := Nat.pow_succ_r (compat "8.4").
-Notation square := Nat.square (compat "8.4").
-Notation square_spec := Nat.square_spec (compat "8.4").
-Notation Even := Nat.Even (compat "8.4").
-Notation Odd := Nat.Odd (compat "8.4").
-Notation even := Nat.even (compat "8.4").
-Notation odd := Nat.odd (compat "8.4").
-Notation even_spec := Nat.even_spec (compat "8.4").
-Notation odd_spec := Nat.odd_spec (compat "8.4").
+Notation leb := Nat.leb (only parsing).
+Notation ltb := Nat.ltb (only parsing).
+Notation leb_le := Nat.leb_le (only parsing).
+Notation ltb_lt := Nat.ltb_lt (only parsing).
+Notation pow := Nat.pow (only parsing).
+Notation pow_0_r := Nat.pow_0_r (only parsing).
+Notation pow_succ_r := Nat.pow_succ_r (only parsing).
+Notation square := Nat.square (only parsing).
+Notation square_spec := Nat.square_spec (only parsing).
+Notation Even := Nat.Even (only parsing).
+Notation Odd := Nat.Odd (only parsing).
+Notation even := Nat.even (only parsing).
+Notation odd := Nat.odd (only parsing).
+Notation even_spec := Nat.even_spec (only parsing).
+Notation odd_spec := Nat.odd_spec (only parsing).
Lemma Even_equiv n : Even n <-> Even.even n.
Proof. symmetry. apply Even.even_equiv. Qed.
Lemma Odd_equiv n : Odd n <-> Even.odd n.
Proof. symmetry. apply Even.odd_equiv. Qed.
-Notation divmod := Nat.divmod (compat "8.4").
-Notation div := Nat.div (compat "8.4").
-Notation modulo := Nat.modulo (compat "8.4").
-Notation divmod_spec := Nat.divmod_spec (compat "8.4").
-Notation div_mod := Nat.div_mod (compat "8.4").
-Notation mod_bound_pos := Nat.mod_bound_pos (compat "8.4").
-Notation sqrt_iter := Nat.sqrt_iter (compat "8.4").
-Notation sqrt := Nat.sqrt (compat "8.4").
-Notation sqrt_iter_spec := Nat.sqrt_iter_spec (compat "8.4").
-Notation sqrt_spec := Nat.sqrt_spec (compat "8.4").
-Notation log2_iter := Nat.log2_iter (compat "8.4").
-Notation log2 := Nat.log2 (compat "8.4").
-Notation log2_iter_spec := Nat.log2_iter_spec (compat "8.4").
-Notation log2_spec := Nat.log2_spec (compat "8.4").
-Notation log2_nonpos := Nat.log2_nonpos (compat "8.4").
-Notation gcd := Nat.gcd (compat "8.4").
-Notation divide := Nat.divide (compat "8.4").
-Notation gcd_divide := Nat.gcd_divide (compat "8.4").
-Notation gcd_divide_l := Nat.gcd_divide_l (compat "8.4").
-Notation gcd_divide_r := Nat.gcd_divide_r (compat "8.4").
-Notation gcd_greatest := Nat.gcd_greatest (compat "8.4").
-Notation testbit := Nat.testbit (compat "8.4").
-Notation shiftl := Nat.shiftl (compat "8.4").
-Notation shiftr := Nat.shiftr (compat "8.4").
-Notation bitwise := Nat.bitwise (compat "8.4").
-Notation land := Nat.land (compat "8.4").
-Notation lor := Nat.lor (compat "8.4").
-Notation ldiff := Nat.ldiff (compat "8.4").
-Notation lxor := Nat.lxor (compat "8.4").
-Notation double_twice := Nat.double_twice (compat "8.4").
-Notation testbit_0_l := Nat.testbit_0_l (compat "8.4").
-Notation testbit_odd_0 := Nat.testbit_odd_0 (compat "8.4").
-Notation testbit_even_0 := Nat.testbit_even_0 (compat "8.4").
-Notation testbit_odd_succ := Nat.testbit_odd_succ (compat "8.4").
-Notation testbit_even_succ := Nat.testbit_even_succ (compat "8.4").
-Notation shiftr_spec := Nat.shiftr_spec (compat "8.4").
-Notation shiftl_spec_high := Nat.shiftl_spec_high (compat "8.4").
-Notation shiftl_spec_low := Nat.shiftl_spec_low (compat "8.4").
-Notation div2_bitwise := Nat.div2_bitwise (compat "8.4").
-Notation odd_bitwise := Nat.odd_bitwise (compat "8.4").
-Notation div2_decr := Nat.div2_decr (compat "8.4").
-Notation testbit_bitwise_1 := Nat.testbit_bitwise_1 (compat "8.4").
-Notation testbit_bitwise_2 := Nat.testbit_bitwise_2 (compat "8.4").
-Notation land_spec := Nat.land_spec (compat "8.4").
-Notation ldiff_spec := Nat.ldiff_spec (compat "8.4").
-Notation lor_spec := Nat.lor_spec (compat "8.4").
-Notation lxor_spec := Nat.lxor_spec (compat "8.4").
+Notation divmod := Nat.divmod (only parsing).
+Notation div := Nat.div (only parsing).
+Notation modulo := Nat.modulo (only parsing).
+Notation divmod_spec := Nat.divmod_spec (only parsing).
+Notation div_mod := Nat.div_mod (only parsing).
+Notation mod_bound_pos := Nat.mod_bound_pos (only parsing).
+Notation sqrt_iter := Nat.sqrt_iter (only parsing).
+Notation sqrt := Nat.sqrt (only parsing).
+Notation sqrt_iter_spec := Nat.sqrt_iter_spec (only parsing).
+Notation sqrt_spec := Nat.sqrt_spec (only parsing).
+Notation log2_iter := Nat.log2_iter (only parsing).
+Notation log2 := Nat.log2 (only parsing).
+Notation log2_iter_spec := Nat.log2_iter_spec (only parsing).
+Notation log2_spec := Nat.log2_spec (only parsing).
+Notation log2_nonpos := Nat.log2_nonpos (only parsing).
+Notation gcd := Nat.gcd (only parsing).
+Notation divide := Nat.divide (only parsing).
+Notation gcd_divide := Nat.gcd_divide (only parsing).
+Notation gcd_divide_l := Nat.gcd_divide_l (only parsing).
+Notation gcd_divide_r := Nat.gcd_divide_r (only parsing).
+Notation gcd_greatest := Nat.gcd_greatest (only parsing).
+Notation testbit := Nat.testbit (only parsing).
+Notation shiftl := Nat.shiftl (only parsing).
+Notation shiftr := Nat.shiftr (only parsing).
+Notation bitwise := Nat.bitwise (only parsing).
+Notation land := Nat.land (only parsing).
+Notation lor := Nat.lor (only parsing).
+Notation ldiff := Nat.ldiff (only parsing).
+Notation lxor := Nat.lxor (only parsing).
+Notation double_twice := Nat.double_twice (only parsing).
+Notation testbit_0_l := Nat.testbit_0_l (only parsing).
+Notation testbit_odd_0 := Nat.testbit_odd_0 (only parsing).
+Notation testbit_even_0 := Nat.testbit_even_0 (only parsing).
+Notation testbit_odd_succ := Nat.testbit_odd_succ (only parsing).
+Notation testbit_even_succ := Nat.testbit_even_succ (only parsing).
+Notation shiftr_spec := Nat.shiftr_spec (only parsing).
+Notation shiftl_spec_high := Nat.shiftl_spec_high (only parsing).
+Notation shiftl_spec_low := Nat.shiftl_spec_low (only parsing).
+Notation div2_bitwise := Nat.div2_bitwise (only parsing).
+Notation odd_bitwise := Nat.odd_bitwise (only parsing).
+Notation div2_decr := Nat.div2_decr (only parsing).
+Notation testbit_bitwise_1 := Nat.testbit_bitwise_1 (only parsing).
+Notation testbit_bitwise_2 := Nat.testbit_bitwise_2 (only parsing).
+Notation land_spec := Nat.land_spec (only parsing).
+Notation ldiff_spec := Nat.ldiff_spec (only parsing).
+Notation lor_spec := Nat.lor_spec (only parsing).
+Notation lxor_spec := Nat.lxor_spec (only parsing).
Infix "<=?" := Nat.leb (at level 70) : nat_scope.
Infix "<?" := Nat.ltb (at level 70) : nat_scope.
diff --git a/theories/PArith/BinPos.v b/theories/PArith/BinPos.v
index ff880eefa..3adc72e14 100644
--- a/theories/PArith/BinPos.v
+++ b/theories/PArith/BinPos.v
@@ -1903,180 +1903,180 @@ Notation IsNul := Pos.IsNul (only parsing).
Notation IsPos := Pos.IsPos (only parsing).
Notation IsNeg := Pos.IsNeg (only parsing).
-Notation Psucc := Pos.succ (compat "8.3").
-Notation Pplus := Pos.add (compat "8.3").
-Notation Pplus_carry := Pos.add_carry (compat "8.3").
-Notation Ppred := Pos.pred (compat "8.3").
-Notation Piter_op := Pos.iter_op (compat "8.3").
-Notation Piter_op_succ := Pos.iter_op_succ (compat "8.3").
-Notation Pmult_nat := (Pos.iter_op plus) (compat "8.3").
-Notation nat_of_P := Pos.to_nat (compat "8.3").
-Notation P_of_succ_nat := Pos.of_succ_nat (compat "8.3").
-Notation Pdouble_minus_one := Pos.pred_double (compat "8.3").
-Notation positive_mask := Pos.mask (compat "8.3").
-Notation positive_mask_rect := Pos.mask_rect (compat "8.3").
-Notation positive_mask_ind := Pos.mask_ind (compat "8.3").
-Notation positive_mask_rec := Pos.mask_rec (compat "8.3").
-Notation Pdouble_plus_one_mask := Pos.succ_double_mask (compat "8.3").
-Notation Pdouble_mask := Pos.double_mask (compat "8.3").
-Notation Pdouble_minus_two := Pos.double_pred_mask (compat "8.3").
-Notation Pminus_mask := Pos.sub_mask (compat "8.3").
-Notation Pminus_mask_carry := Pos.sub_mask_carry (compat "8.3").
-Notation Pminus := Pos.sub (compat "8.3").
-Notation Pmult := Pos.mul (compat "8.3").
-Notation iter_pos := @Pos.iter (compat "8.3").
-Notation Ppow := Pos.pow (compat "8.3").
-Notation Pdiv2 := Pos.div2 (compat "8.3").
-Notation Pdiv2_up := Pos.div2_up (compat "8.3").
-Notation Psize := Pos.size_nat (compat "8.3").
-Notation Psize_pos := Pos.size (compat "8.3").
-Notation Pcompare x y m := (Pos.compare_cont m x y) (compat "8.3").
-Notation Plt := Pos.lt (compat "8.3").
-Notation Pgt := Pos.gt (compat "8.3").
-Notation Ple := Pos.le (compat "8.3").
-Notation Pge := Pos.ge (compat "8.3").
-Notation Pmin := Pos.min (compat "8.3").
-Notation Pmax := Pos.max (compat "8.3").
-Notation Peqb := Pos.eqb (compat "8.3").
-Notation positive_eq_dec := Pos.eq_dec (compat "8.3").
-Notation xI_succ_xO := Pos.xI_succ_xO (compat "8.3").
-Notation Psucc_discr := Pos.succ_discr (compat "8.3").
+Notation Psucc := Pos.succ (compat "8.6").
+Notation Pplus := Pos.add (only parsing).
+Notation Pplus_carry := Pos.add_carry (only parsing).
+Notation Ppred := Pos.pred (compat "8.6").
+Notation Piter_op := Pos.iter_op (compat "8.6").
+Notation Piter_op_succ := Pos.iter_op_succ (compat "8.6").
+Notation Pmult_nat := (Pos.iter_op plus) (only parsing).
+Notation nat_of_P := Pos.to_nat (only parsing).
+Notation P_of_succ_nat := Pos.of_succ_nat (only parsing).
+Notation Pdouble_minus_one := Pos.pred_double (only parsing).
+Notation positive_mask := Pos.mask (only parsing).
+Notation positive_mask_rect := Pos.mask_rect (only parsing).
+Notation positive_mask_ind := Pos.mask_ind (only parsing).
+Notation positive_mask_rec := Pos.mask_rec (only parsing).
+Notation Pdouble_plus_one_mask := Pos.succ_double_mask (only parsing).
+Notation Pdouble_mask := Pos.double_mask (compat "8.6").
+Notation Pdouble_minus_two := Pos.double_pred_mask (only parsing).
+Notation Pminus_mask := Pos.sub_mask (only parsing).
+Notation Pminus_mask_carry := Pos.sub_mask_carry (only parsing).
+Notation Pminus := Pos.sub (only parsing).
+Notation Pmult := Pos.mul (only parsing).
+Notation iter_pos := @Pos.iter (only parsing).
+Notation Ppow := Pos.pow (compat "8.6").
+Notation Pdiv2 := Pos.div2 (compat "8.6").
+Notation Pdiv2_up := Pos.div2_up (compat "8.6").
+Notation Psize := Pos.size_nat (only parsing).
+Notation Psize_pos := Pos.size (only parsing).
+Notation Pcompare x y m := (Pos.compare_cont m x y) (only parsing).
+Notation Plt := Pos.lt (compat "8.6").
+Notation Pgt := Pos.gt (compat "8.6").
+Notation Ple := Pos.le (compat "8.6").
+Notation Pge := Pos.ge (compat "8.6").
+Notation Pmin := Pos.min (compat "8.6").
+Notation Pmax := Pos.max (compat "8.6").
+Notation Peqb := Pos.eqb (compat "8.6").
+Notation positive_eq_dec := Pos.eq_dec (only parsing).
+Notation xI_succ_xO := Pos.xI_succ_xO (only parsing).
+Notation Psucc_discr := Pos.succ_discr (compat "8.6").
Notation Psucc_o_double_minus_one_eq_xO :=
- Pos.succ_pred_double (compat "8.3").
+ Pos.succ_pred_double (only parsing).
Notation Pdouble_minus_one_o_succ_eq_xI :=
- Pos.pred_double_succ (compat "8.3").
-Notation xO_succ_permute := Pos.double_succ (compat "8.3").
+ Pos.pred_double_succ (only parsing).
+Notation xO_succ_permute := Pos.double_succ (only parsing).
Notation double_moins_un_xO_discr :=
- Pos.pred_double_xO_discr (compat "8.3").
-Notation Psucc_not_one := Pos.succ_not_1 (compat "8.3").
-Notation Ppred_succ := Pos.pred_succ (compat "8.3").
-Notation Psucc_pred := Pos.succ_pred_or (compat "8.3").
-Notation Psucc_inj := Pos.succ_inj (compat "8.3").
-Notation Pplus_carry_spec := Pos.add_carry_spec (compat "8.3").
-Notation Pplus_comm := Pos.add_comm (compat "8.3").
-Notation Pplus_succ_permute_r := Pos.add_succ_r (compat "8.3").
-Notation Pplus_succ_permute_l := Pos.add_succ_l (compat "8.3").
-Notation Pplus_no_neutral := Pos.add_no_neutral (compat "8.3").
-Notation Pplus_carry_plus := Pos.add_carry_add (compat "8.3").
-Notation Pplus_reg_r := Pos.add_reg_r (compat "8.3").
-Notation Pplus_reg_l := Pos.add_reg_l (compat "8.3").
-Notation Pplus_carry_reg_r := Pos.add_carry_reg_r (compat "8.3").
-Notation Pplus_carry_reg_l := Pos.add_carry_reg_l (compat "8.3").
-Notation Pplus_assoc := Pos.add_assoc (compat "8.3").
-Notation Pplus_xO := Pos.add_xO (compat "8.3").
-Notation Pplus_xI_double_minus_one := Pos.add_xI_pred_double (compat "8.3").
-Notation Pplus_xO_double_minus_one := Pos.add_xO_pred_double (compat "8.3").
-Notation Pplus_diag := Pos.add_diag (compat "8.3").
-Notation PeanoView := Pos.PeanoView (compat "8.3").
-Notation PeanoOne := Pos.PeanoOne (compat "8.3").
-Notation PeanoSucc := Pos.PeanoSucc (compat "8.3").
-Notation PeanoView_rect := Pos.PeanoView_rect (compat "8.3").
-Notation PeanoView_ind := Pos.PeanoView_ind (compat "8.3").
-Notation PeanoView_rec := Pos.PeanoView_rec (compat "8.3").
-Notation peanoView_xO := Pos.peanoView_xO (compat "8.3").
-Notation peanoView_xI := Pos.peanoView_xI (compat "8.3").
-Notation peanoView := Pos.peanoView (compat "8.3").
-Notation PeanoView_iter := Pos.PeanoView_iter (compat "8.3").
-Notation eq_dep_eq_positive := Pos.eq_dep_eq_positive (compat "8.3").
-Notation PeanoViewUnique := Pos.PeanoViewUnique (compat "8.3").
-Notation Prect := Pos.peano_rect (compat "8.3").
-Notation Prect_succ := Pos.peano_rect_succ (compat "8.3").
-Notation Prect_base := Pos.peano_rect_base (compat "8.3").
-Notation Prec := Pos.peano_rec (compat "8.3").
-Notation Pind := Pos.peano_ind (compat "8.3").
-Notation Pcase := Pos.peano_case (compat "8.3").
-Notation Pmult_1_r := Pos.mul_1_r (compat "8.3").
-Notation Pmult_Sn_m := Pos.mul_succ_l (compat "8.3").
-Notation Pmult_xO_permute_r := Pos.mul_xO_r (compat "8.3").
-Notation Pmult_xI_permute_r := Pos.mul_xI_r (compat "8.3").
-Notation Pmult_comm := Pos.mul_comm (compat "8.3").
-Notation Pmult_plus_distr_l := Pos.mul_add_distr_l (compat "8.3").
-Notation Pmult_plus_distr_r := Pos.mul_add_distr_r (compat "8.3").
-Notation Pmult_assoc := Pos.mul_assoc (compat "8.3").
-Notation Pmult_xI_mult_xO_discr := Pos.mul_xI_mul_xO_discr (compat "8.3").
-Notation Pmult_xO_discr := Pos.mul_xO_discr (compat "8.3").
-Notation Pmult_reg_r := Pos.mul_reg_r (compat "8.3").
-Notation Pmult_reg_l := Pos.mul_reg_l (compat "8.3").
-Notation Pmult_1_inversion_l := Pos.mul_eq_1_l (compat "8.3").
-Notation Psquare_xO := Pos.square_xO (compat "8.3").
-Notation Psquare_xI := Pos.square_xI (compat "8.3").
-Notation iter_pos_swap_gen := Pos.iter_swap_gen (compat "8.3").
-Notation iter_pos_swap := Pos.iter_swap (compat "8.3").
-Notation iter_pos_succ := Pos.iter_succ (compat "8.3").
-Notation iter_pos_plus := Pos.iter_add (compat "8.3").
-Notation iter_pos_invariant := Pos.iter_invariant (compat "8.3").
-Notation Ppow_1_r := Pos.pow_1_r (compat "8.3").
-Notation Ppow_succ_r := Pos.pow_succ_r (compat "8.3").
-Notation Peqb_refl := Pos.eqb_refl (compat "8.3").
-Notation Peqb_eq := Pos.eqb_eq (compat "8.3").
-Notation Pcompare_refl_id := Pos.compare_cont_refl (compat "8.3").
-Notation Pcompare_eq_iff := Pos.compare_eq_iff (compat "8.3").
-Notation Pcompare_Gt_Lt := Pos.compare_cont_Gt_Lt (compat "8.3").
-Notation Pcompare_eq_Lt := Pos.compare_lt_iff (compat "8.3").
-Notation Pcompare_Lt_Gt := Pos.compare_cont_Lt_Gt (compat "8.3").
-
-Notation Pcompare_antisym := Pos.compare_cont_antisym (compat "8.3").
-Notation ZC1 := Pos.gt_lt (compat "8.3").
-Notation ZC2 := Pos.lt_gt (compat "8.3").
-Notation Pcompare_spec := Pos.compare_spec (compat "8.3").
-Notation Pcompare_p_Sp := Pos.lt_succ_diag_r (compat "8.3").
-Notation Pcompare_succ_succ := Pos.compare_succ_succ (compat "8.3").
-Notation Pcompare_1 := Pos.nlt_1_r (compat "8.3").
-Notation Plt_1 := Pos.nlt_1_r (compat "8.3").
-Notation Plt_1_succ := Pos.lt_1_succ (compat "8.3").
-Notation Plt_lt_succ := Pos.lt_lt_succ (compat "8.3").
-Notation Plt_irrefl := Pos.lt_irrefl (compat "8.3").
-Notation Plt_trans := Pos.lt_trans (compat "8.3").
-Notation Plt_ind := Pos.lt_ind (compat "8.3").
-Notation Ple_lteq := Pos.le_lteq (compat "8.3").
-Notation Ple_refl := Pos.le_refl (compat "8.3").
-Notation Ple_lt_trans := Pos.le_lt_trans (compat "8.3").
-Notation Plt_le_trans := Pos.lt_le_trans (compat "8.3").
-Notation Ple_trans := Pos.le_trans (compat "8.3").
-Notation Plt_succ_r := Pos.lt_succ_r (compat "8.3").
-Notation Ple_succ_l := Pos.le_succ_l (compat "8.3").
-Notation Pplus_compare_mono_l := Pos.add_compare_mono_l (compat "8.3").
-Notation Pplus_compare_mono_r := Pos.add_compare_mono_r (compat "8.3").
-Notation Pplus_lt_mono_l := Pos.add_lt_mono_l (compat "8.3").
-Notation Pplus_lt_mono_r := Pos.add_lt_mono_r (compat "8.3").
-Notation Pplus_lt_mono := Pos.add_lt_mono (compat "8.3").
-Notation Pplus_le_mono_l := Pos.add_le_mono_l (compat "8.3").
-Notation Pplus_le_mono_r := Pos.add_le_mono_r (compat "8.3").
-Notation Pplus_le_mono := Pos.add_le_mono (compat "8.3").
-Notation Pmult_compare_mono_l := Pos.mul_compare_mono_l (compat "8.3").
-Notation Pmult_compare_mono_r := Pos.mul_compare_mono_r (compat "8.3").
-Notation Pmult_lt_mono_l := Pos.mul_lt_mono_l (compat "8.3").
-Notation Pmult_lt_mono_r := Pos.mul_lt_mono_r (compat "8.3").
-Notation Pmult_lt_mono := Pos.mul_lt_mono (compat "8.3").
-Notation Pmult_le_mono_l := Pos.mul_le_mono_l (compat "8.3").
-Notation Pmult_le_mono_r := Pos.mul_le_mono_r (compat "8.3").
-Notation Pmult_le_mono := Pos.mul_le_mono (compat "8.3").
-Notation Plt_plus_r := Pos.lt_add_r (compat "8.3").
-Notation Plt_not_plus_l := Pos.lt_not_add_l (compat "8.3").
-Notation Ppow_gt_1 := Pos.pow_gt_1 (compat "8.3").
-Notation Ppred_mask := Pos.pred_mask (compat "8.3").
-Notation Pminus_mask_succ_r := Pos.sub_mask_succ_r (compat "8.3").
-Notation Pminus_mask_carry_spec := Pos.sub_mask_carry_spec (compat "8.3").
-Notation Pminus_succ_r := Pos.sub_succ_r (compat "8.3").
-Notation Pminus_mask_diag := Pos.sub_mask_diag (compat "8.3").
-
-Notation Pplus_minus_eq := Pos.add_sub (compat "8.3").
-Notation Pmult_minus_distr_l := Pos.mul_sub_distr_l (compat "8.3").
-Notation Pminus_lt_mono_l := Pos.sub_lt_mono_l (compat "8.3").
-Notation Pminus_compare_mono_l := Pos.sub_compare_mono_l (compat "8.3").
-Notation Pminus_compare_mono_r := Pos.sub_compare_mono_r (compat "8.3").
-Notation Pminus_lt_mono_r := Pos.sub_lt_mono_r (compat "8.3").
-Notation Pminus_decr := Pos.sub_decr (compat "8.3").
-Notation Pminus_xI_xI := Pos.sub_xI_xI (compat "8.3").
-Notation Pplus_minus_assoc := Pos.add_sub_assoc (compat "8.3").
-Notation Pminus_plus_distr := Pos.sub_add_distr (compat "8.3").
-Notation Pminus_minus_distr := Pos.sub_sub_distr (compat "8.3").
-Notation Pminus_mask_Lt := Pos.sub_mask_neg (compat "8.3").
-Notation Pminus_Lt := Pos.sub_lt (compat "8.3").
-Notation Pminus_Eq := Pos.sub_diag (compat "8.3").
-Notation Psize_monotone := Pos.size_nat_monotone (compat "8.3").
-Notation Psize_pos_gt := Pos.size_gt (compat "8.3").
-Notation Psize_pos_le := Pos.size_le (compat "8.3").
+ Pos.pred_double_xO_discr (only parsing).
+Notation Psucc_not_one := Pos.succ_not_1 (only parsing).
+Notation Ppred_succ := Pos.pred_succ (compat "8.6").
+Notation Psucc_pred := Pos.succ_pred_or (only parsing).
+Notation Psucc_inj := Pos.succ_inj (compat "8.6").
+Notation Pplus_carry_spec := Pos.add_carry_spec (only parsing).
+Notation Pplus_comm := Pos.add_comm (only parsing).
+Notation Pplus_succ_permute_r := Pos.add_succ_r (only parsing).
+Notation Pplus_succ_permute_l := Pos.add_succ_l (only parsing).
+Notation Pplus_no_neutral := Pos.add_no_neutral (only parsing).
+Notation Pplus_carry_plus := Pos.add_carry_add (only parsing).
+Notation Pplus_reg_r := Pos.add_reg_r (only parsing).
+Notation Pplus_reg_l := Pos.add_reg_l (only parsing).
+Notation Pplus_carry_reg_r := Pos.add_carry_reg_r (only parsing).
+Notation Pplus_carry_reg_l := Pos.add_carry_reg_l (only parsing).
+Notation Pplus_assoc := Pos.add_assoc (only parsing).
+Notation Pplus_xO := Pos.add_xO (only parsing).
+Notation Pplus_xI_double_minus_one := Pos.add_xI_pred_double (only parsing).
+Notation Pplus_xO_double_minus_one := Pos.add_xO_pred_double (only parsing).
+Notation Pplus_diag := Pos.add_diag (only parsing).
+Notation PeanoView := Pos.PeanoView (only parsing).
+Notation PeanoOne := Pos.PeanoOne (only parsing).
+Notation PeanoSucc := Pos.PeanoSucc (only parsing).
+Notation PeanoView_rect := Pos.PeanoView_rect (only parsing).
+Notation PeanoView_ind := Pos.PeanoView_ind (only parsing).
+Notation PeanoView_rec := Pos.PeanoView_rec (only parsing).
+Notation peanoView_xO := Pos.peanoView_xO (only parsing).
+Notation peanoView_xI := Pos.peanoView_xI (only parsing).
+Notation peanoView := Pos.peanoView (only parsing).
+Notation PeanoView_iter := Pos.PeanoView_iter (only parsing).
+Notation eq_dep_eq_positive := Pos.eq_dep_eq_positive (only parsing).
+Notation PeanoViewUnique := Pos.PeanoViewUnique (only parsing).
+Notation Prect := Pos.peano_rect (only parsing).
+Notation Prect_succ := Pos.peano_rect_succ (only parsing).
+Notation Prect_base := Pos.peano_rect_base (only parsing).
+Notation Prec := Pos.peano_rec (only parsing).
+Notation Pind := Pos.peano_ind (only parsing).
+Notation Pcase := Pos.peano_case (only parsing).
+Notation Pmult_1_r := Pos.mul_1_r (only parsing).
+Notation Pmult_Sn_m := Pos.mul_succ_l (only parsing).
+Notation Pmult_xO_permute_r := Pos.mul_xO_r (only parsing).
+Notation Pmult_xI_permute_r := Pos.mul_xI_r (only parsing).
+Notation Pmult_comm := Pos.mul_comm (only parsing).
+Notation Pmult_plus_distr_l := Pos.mul_add_distr_l (only parsing).
+Notation Pmult_plus_distr_r := Pos.mul_add_distr_r (only parsing).
+Notation Pmult_assoc := Pos.mul_assoc (only parsing).
+Notation Pmult_xI_mult_xO_discr := Pos.mul_xI_mul_xO_discr (only parsing).
+Notation Pmult_xO_discr := Pos.mul_xO_discr (only parsing).
+Notation Pmult_reg_r := Pos.mul_reg_r (only parsing).
+Notation Pmult_reg_l := Pos.mul_reg_l (only parsing).
+Notation Pmult_1_inversion_l := Pos.mul_eq_1_l (only parsing).
+Notation Psquare_xO := Pos.square_xO (compat "8.6").
+Notation Psquare_xI := Pos.square_xI (compat "8.6").
+Notation iter_pos_swap_gen := Pos.iter_swap_gen (only parsing).
+Notation iter_pos_swap := Pos.iter_swap (only parsing).
+Notation iter_pos_succ := Pos.iter_succ (only parsing).
+Notation iter_pos_plus := Pos.iter_add (only parsing).
+Notation iter_pos_invariant := Pos.iter_invariant (only parsing).
+Notation Ppow_1_r := Pos.pow_1_r (compat "8.6").
+Notation Ppow_succ_r := Pos.pow_succ_r (compat "8.6").
+Notation Peqb_refl := Pos.eqb_refl (compat "8.6").
+Notation Peqb_eq := Pos.eqb_eq (compat "8.6").
+Notation Pcompare_refl_id := Pos.compare_cont_refl (only parsing).
+Notation Pcompare_eq_iff := Pos.compare_eq_iff (only parsing).
+Notation Pcompare_Gt_Lt := Pos.compare_cont_Gt_Lt (only parsing).
+Notation Pcompare_eq_Lt := Pos.compare_lt_iff (only parsing).
+Notation Pcompare_Lt_Gt := Pos.compare_cont_Lt_Gt (only parsing).
+
+Notation Pcompare_antisym := Pos.compare_cont_antisym (only parsing).
+Notation ZC1 := Pos.gt_lt (only parsing).
+Notation ZC2 := Pos.lt_gt (only parsing).
+Notation Pcompare_spec := Pos.compare_spec (compat "8.6").
+Notation Pcompare_p_Sp := Pos.lt_succ_diag_r (only parsing).
+Notation Pcompare_succ_succ := Pos.compare_succ_succ (compat "8.6").
+Notation Pcompare_1 := Pos.nlt_1_r (only parsing).
+Notation Plt_1 := Pos.nlt_1_r (only parsing).
+Notation Plt_1_succ := Pos.lt_1_succ (compat "8.6").
+Notation Plt_lt_succ := Pos.lt_lt_succ (compat "8.6").
+Notation Plt_irrefl := Pos.lt_irrefl (compat "8.6").
+Notation Plt_trans := Pos.lt_trans (compat "8.6").
+Notation Plt_ind := Pos.lt_ind (compat "8.6").
+Notation Ple_lteq := Pos.le_lteq (compat "8.6").
+Notation Ple_refl := Pos.le_refl (compat "8.6").
+Notation Ple_lt_trans := Pos.le_lt_trans (compat "8.6").
+Notation Plt_le_trans := Pos.lt_le_trans (compat "8.6").
+Notation Ple_trans := Pos.le_trans (compat "8.6").
+Notation Plt_succ_r := Pos.lt_succ_r (compat "8.6").
+Notation Ple_succ_l := Pos.le_succ_l (compat "8.6").
+Notation Pplus_compare_mono_l := Pos.add_compare_mono_l (only parsing).
+Notation Pplus_compare_mono_r := Pos.add_compare_mono_r (only parsing).
+Notation Pplus_lt_mono_l := Pos.add_lt_mono_l (only parsing).
+Notation Pplus_lt_mono_r := Pos.add_lt_mono_r (only parsing).
+Notation Pplus_lt_mono := Pos.add_lt_mono (only parsing).
+Notation Pplus_le_mono_l := Pos.add_le_mono_l (only parsing).
+Notation Pplus_le_mono_r := Pos.add_le_mono_r (only parsing).
+Notation Pplus_le_mono := Pos.add_le_mono (only parsing).
+Notation Pmult_compare_mono_l := Pos.mul_compare_mono_l (only parsing).
+Notation Pmult_compare_mono_r := Pos.mul_compare_mono_r (only parsing).
+Notation Pmult_lt_mono_l := Pos.mul_lt_mono_l (only parsing).
+Notation Pmult_lt_mono_r := Pos.mul_lt_mono_r (only parsing).
+Notation Pmult_lt_mono := Pos.mul_lt_mono (only parsing).
+Notation Pmult_le_mono_l := Pos.mul_le_mono_l (only parsing).
+Notation Pmult_le_mono_r := Pos.mul_le_mono_r (only parsing).
+Notation Pmult_le_mono := Pos.mul_le_mono (only parsing).
+Notation Plt_plus_r := Pos.lt_add_r (only parsing).
+Notation Plt_not_plus_l := Pos.lt_not_add_l (only parsing).
+Notation Ppow_gt_1 := Pos.pow_gt_1 (compat "8.6").
+Notation Ppred_mask := Pos.pred_mask (compat "8.6").
+Notation Pminus_mask_succ_r := Pos.sub_mask_succ_r (only parsing).
+Notation Pminus_mask_carry_spec := Pos.sub_mask_carry_spec (only parsing).
+Notation Pminus_succ_r := Pos.sub_succ_r (only parsing).
+Notation Pminus_mask_diag := Pos.sub_mask_diag (only parsing).
+
+Notation Pplus_minus_eq := Pos.add_sub (only parsing).
+Notation Pmult_minus_distr_l := Pos.mul_sub_distr_l (only parsing).
+Notation Pminus_lt_mono_l := Pos.sub_lt_mono_l (only parsing).
+Notation Pminus_compare_mono_l := Pos.sub_compare_mono_l (only parsing).
+Notation Pminus_compare_mono_r := Pos.sub_compare_mono_r (only parsing).
+Notation Pminus_lt_mono_r := Pos.sub_lt_mono_r (only parsing).
+Notation Pminus_decr := Pos.sub_decr (only parsing).
+Notation Pminus_xI_xI := Pos.sub_xI_xI (only parsing).
+Notation Pplus_minus_assoc := Pos.add_sub_assoc (only parsing).
+Notation Pminus_plus_distr := Pos.sub_add_distr (only parsing).
+Notation Pminus_minus_distr := Pos.sub_sub_distr (only parsing).
+Notation Pminus_mask_Lt := Pos.sub_mask_neg (only parsing).
+Notation Pminus_Lt := Pos.sub_lt (only parsing).
+Notation Pminus_Eq := Pos.sub_diag (only parsing).
+Notation Psize_monotone := Pos.size_nat_monotone (only parsing).
+Notation Psize_pos_gt := Pos.size_gt (only parsing).
+Notation Psize_pos_le := Pos.size_le (only parsing).
(** More complex compatibility facts, expressed as lemmas
(to preserve scopes for instance) *)
diff --git a/theories/PArith/Pnat.v b/theories/PArith/Pnat.v
index 461967de8..6cbea8a3d 100644
--- a/theories/PArith/Pnat.v
+++ b/theories/PArith/Pnat.v
@@ -382,36 +382,36 @@ End SuccNat2Pos.
(** For compatibility, old names and old-style lemmas *)
-Notation Psucc_S := Pos2Nat.inj_succ (compat "8.3").
-Notation Pplus_plus := Pos2Nat.inj_add (compat "8.3").
-Notation Pmult_mult := Pos2Nat.inj_mul (compat "8.3").
-Notation Pcompare_nat_compare := Pos2Nat.inj_compare (compat "8.3").
-Notation nat_of_P_xH := Pos2Nat.inj_1 (compat "8.3").
-Notation nat_of_P_xO := Pos2Nat.inj_xO (compat "8.3").
-Notation nat_of_P_xI := Pos2Nat.inj_xI (compat "8.3").
-Notation nat_of_P_is_S := Pos2Nat.is_succ (compat "8.3").
-Notation nat_of_P_pos := Pos2Nat.is_pos (compat "8.3").
-Notation nat_of_P_inj_iff := Pos2Nat.inj_iff (compat "8.3").
-Notation nat_of_P_inj := Pos2Nat.inj (compat "8.3").
-Notation Plt_lt := Pos2Nat.inj_lt (compat "8.3").
-Notation Pgt_gt := Pos2Nat.inj_gt (compat "8.3").
-Notation Ple_le := Pos2Nat.inj_le (compat "8.3").
-Notation Pge_ge := Pos2Nat.inj_ge (compat "8.3").
-Notation Pminus_minus := Pos2Nat.inj_sub (compat "8.3").
-Notation iter_nat_of_P := @Pos2Nat.inj_iter (compat "8.3").
-
-Notation nat_of_P_of_succ_nat := SuccNat2Pos.id_succ (compat "8.3").
-Notation P_of_succ_nat_of_P := Pos2SuccNat.id_succ (compat "8.3").
-
-Notation nat_of_P_succ_morphism := Pos2Nat.inj_succ (compat "8.3").
-Notation nat_of_P_plus_morphism := Pos2Nat.inj_add (compat "8.3").
-Notation nat_of_P_mult_morphism := Pos2Nat.inj_mul (compat "8.3").
-Notation nat_of_P_compare_morphism := Pos2Nat.inj_compare (compat "8.3").
-Notation lt_O_nat_of_P := Pos2Nat.is_pos (compat "8.3").
-Notation ZL4 := Pos2Nat.is_succ (compat "8.3").
-Notation nat_of_P_o_P_of_succ_nat_eq_succ := SuccNat2Pos.id_succ (compat "8.3").
-Notation P_of_succ_nat_o_nat_of_P_eq_succ := Pos2SuccNat.id_succ (compat "8.3").
-Notation pred_o_P_of_succ_nat_o_nat_of_P_eq_id := Pos2SuccNat.pred_id (compat "8.3").
+Notation Psucc_S := Pos2Nat.inj_succ (only parsing).
+Notation Pplus_plus := Pos2Nat.inj_add (only parsing).
+Notation Pmult_mult := Pos2Nat.inj_mul (only parsing).
+Notation Pcompare_nat_compare := Pos2Nat.inj_compare (only parsing).
+Notation nat_of_P_xH := Pos2Nat.inj_1 (only parsing).
+Notation nat_of_P_xO := Pos2Nat.inj_xO (only parsing).
+Notation nat_of_P_xI := Pos2Nat.inj_xI (only parsing).
+Notation nat_of_P_is_S := Pos2Nat.is_succ (only parsing).
+Notation nat_of_P_pos := Pos2Nat.is_pos (only parsing).
+Notation nat_of_P_inj_iff := Pos2Nat.inj_iff (only parsing).
+Notation nat_of_P_inj := Pos2Nat.inj (only parsing).
+Notation Plt_lt := Pos2Nat.inj_lt (only parsing).
+Notation Pgt_gt := Pos2Nat.inj_gt (only parsing).
+Notation Ple_le := Pos2Nat.inj_le (only parsing).
+Notation Pge_ge := Pos2Nat.inj_ge (only parsing).
+Notation Pminus_minus := Pos2Nat.inj_sub (only parsing).
+Notation iter_nat_of_P := @Pos2Nat.inj_iter (only parsing).
+
+Notation nat_of_P_of_succ_nat := SuccNat2Pos.id_succ (only parsing).
+Notation P_of_succ_nat_of_P := Pos2SuccNat.id_succ (only parsing).
+
+Notation nat_of_P_succ_morphism := Pos2Nat.inj_succ (only parsing).
+Notation nat_of_P_plus_morphism := Pos2Nat.inj_add (only parsing).
+Notation nat_of_P_mult_morphism := Pos2Nat.inj_mul (only parsing).
+Notation nat_of_P_compare_morphism := Pos2Nat.inj_compare (only parsing).
+Notation lt_O_nat_of_P := Pos2Nat.is_pos (only parsing).
+Notation ZL4 := Pos2Nat.is_succ (only parsing).
+Notation nat_of_P_o_P_of_succ_nat_eq_succ := SuccNat2Pos.id_succ (only parsing).
+Notation P_of_succ_nat_o_nat_of_P_eq_succ := Pos2SuccNat.id_succ (only parsing).
+Notation pred_o_P_of_succ_nat_o_nat_of_P_eq_id := Pos2SuccNat.pred_id (only parsing).
Lemma nat_of_P_minus_morphism p q :
Pos.compare_cont Eq p q = Gt ->
diff --git a/theories/QArith/Qreduction.v b/theories/QArith/Qreduction.v
index 5d055b547..959a7e5bd 100644
--- a/theories/QArith/Qreduction.v
+++ b/theories/QArith/Qreduction.v
@@ -11,8 +11,8 @@
Require Export QArith_base.
Require Import Znumtheory.
-Notation Z2P := Z.to_pos (compat "8.3").
-Notation Z2P_correct := Z2Pos.id (compat "8.3").
+Notation Z2P := Z.to_pos (only parsing).
+Notation Z2P_correct := Z2Pos.id (only parsing).
(** Simplification of fractions using [Z.gcd].
This version can compute within Coq. *)
diff --git a/theories/Reals/RIneq.v b/theories/Reals/RIneq.v
index bc82c3712..ab7fa15d2 100644
--- a/theories/Reals/RIneq.v
+++ b/theories/Reals/RIneq.v
@@ -2027,7 +2027,7 @@ Qed.
Lemma R_rm : ring_morph
0%R 1%R Rplus Rmult Rminus Ropp eq
- 0%Z 1%Z Zplus Zmult Zminus Zopp Zeq_bool IZR.
+ 0%Z 1%Z Zplus Zmult Zminus Z.opp Zeq_bool IZR.
Proof.
constructor ; try easy.
exact plus_IZR.
diff --git a/theories/Reals/Rbasic_fun.v b/theories/Reals/Rbasic_fun.v
index 17b3c5099..a50c7f952 100644
--- a/theories/Reals/Rbasic_fun.v
+++ b/theories/Reals/Rbasic_fun.v
@@ -609,7 +609,7 @@ Qed.
Lemma Rabs_Zabs : forall z:Z, Rabs (IZR z) = IZR (Z.abs z).
Proof.
- intros z; case z; unfold Zabs.
+ intros z; case z; unfold Z.abs.
apply Rabs_R0.
now intros p0; apply Rabs_pos_eq, (IZR_le 0).
unfold IZR at 1.
diff --git a/theories/Reals/Rlogic.v b/theories/Reals/Rlogic.v
index 4ad3339ec..c1b479b61 100644
--- a/theories/Reals/Rlogic.v
+++ b/theories/Reals/Rlogic.v
@@ -63,7 +63,7 @@ destruct (Rle_lt_dec l 0) as [Hl|Hl].
now apply Rinv_0_lt_compat.
now apply Hnp.
left.
-set (N := Zabs_nat (up (/l) - 2)).
+set (N := Z.abs_nat (up (/l) - 2)).
assert (H1l: (1 <= /l)%R).
rewrite <- Rinv_1.
apply Rinv_le_contravar with (1 := Hl).
@@ -75,7 +75,7 @@ assert (HN: (INR N + 1 = IZR (up (/ l)) - 1)%R).
rewrite inj_Zabs_nat.
replace (IZR (up (/ l)) - 1)%R with (IZR (up (/ l) - 2) + 1)%R.
apply (f_equal (fun v => IZR v + 1)%R).
- apply Zabs_eq.
+ apply Z.abs_eq.
apply Zle_minus_le_0.
apply (Zlt_le_succ 1).
apply lt_IZR.
diff --git a/theories/Structures/OrderedTypeEx.v b/theories/Structures/OrderedTypeEx.v
index 3c6afc7b2..9b004a6da 100644
--- a/theories/Structures/OrderedTypeEx.v
+++ b/theories/Structures/OrderedTypeEx.v
@@ -55,7 +55,7 @@ Module Nat_as_OT <: UsualOrderedType.
Definition compare x y : Compare lt eq x y.
Proof.
- case_eq (nat_compare x y); intro.
+ case_eq (Nat.compare x y); intro.
- apply EQ. now apply nat_compare_eq.
- apply LT. now apply nat_compare_Lt_lt.
- apply GT. now apply nat_compare_Gt_gt.
diff --git a/theories/Vectors/VectorDef.v b/theories/Vectors/VectorDef.v
index c49451776..a21b9ca98 100644
--- a/theories/Vectors/VectorDef.v
+++ b/theories/Vectors/VectorDef.v
@@ -305,12 +305,10 @@ End VECTORLIST.
Module VectorNotations.
Delimit Scope vector_scope with vector.
Notation "[ ]" := [] (format "[ ]") : vector_scope.
-Notation "[]" := [] (compat "8.5") : vector_scope.
Notation "h :: t" := (h :: t) (at level 60, right associativity)
: vector_scope.
Notation "[ x ]" := (x :: []) : vector_scope.
Notation "[ x ; y ; .. ; z ]" := (cons _ x _ (cons _ y _ .. (cons _ z _ (nil _)) ..)) : vector_scope.
-Notation "[ x ; .. ; y ]" := (cons _ x _ .. (cons _ y _ (nil _)) ..) (compat "8.4") : vector_scope.
Notation "v [@ p ]" := (nth v p) (at level 1, format "v [@ p ]") : vector_scope.
Open Scope vector_scope.
End VectorNotations.
diff --git a/theories/ZArith/BinInt.v b/theories/ZArith/BinInt.v
index e6fd0f22e..e7dd8aebb 100644
--- a/theories/ZArith/BinInt.v
+++ b/theories/ZArith/BinInt.v
@@ -1565,94 +1565,94 @@ End Z2Pos.
(** Compatibility Notations *)
-Notation Zdouble_plus_one := Z.succ_double (compat "8.3").
-Notation Zdouble_minus_one := Z.pred_double (compat "8.3").
-Notation Zdouble := Z.double (compat "8.3").
-Notation ZPminus := Z.pos_sub (compat "8.3").
-Notation Zsucc' := Z.succ (compat "8.3").
-Notation Zpred' := Z.pred (compat "8.3").
-Notation Zplus' := Z.add (compat "8.3").
-Notation Zplus := Z.add (compat "8.3"). (* Slightly incompatible *)
-Notation Zopp := Z.opp (compat "8.3").
-Notation Zsucc := Z.succ (compat "8.3").
-Notation Zpred := Z.pred (compat "8.3").
-Notation Zminus := Z.sub (compat "8.3").
-Notation Zmult := Z.mul (compat "8.3").
-Notation Zcompare := Z.compare (compat "8.3").
-Notation Zsgn := Z.sgn (compat "8.3").
-Notation Zle := Z.le (compat "8.3").
-Notation Zge := Z.ge (compat "8.3").
-Notation Zlt := Z.lt (compat "8.3").
-Notation Zgt := Z.gt (compat "8.3").
-Notation Zmax := Z.max (compat "8.3").
-Notation Zmin := Z.min (compat "8.3").
-Notation Zabs := Z.abs (compat "8.3").
-Notation Zabs_nat := Z.abs_nat (compat "8.3").
-Notation Zabs_N := Z.abs_N (compat "8.3").
-Notation Z_of_nat := Z.of_nat (compat "8.3").
-Notation Z_of_N := Z.of_N (compat "8.3").
-
-Notation Zind := Z.peano_ind (compat "8.3").
-Notation Zopp_0 := Z.opp_0 (compat "8.3").
-Notation Zopp_involutive := Z.opp_involutive (compat "8.3").
-Notation Zopp_inj := Z.opp_inj (compat "8.3").
-Notation Zplus_0_l := Z.add_0_l (compat "8.3").
-Notation Zplus_0_r := Z.add_0_r (compat "8.3").
-Notation Zplus_comm := Z.add_comm (compat "8.3").
-Notation Zopp_plus_distr := Z.opp_add_distr (compat "8.3").
-Notation Zopp_succ := Z.opp_succ (compat "8.3").
-Notation Zplus_opp_r := Z.add_opp_diag_r (compat "8.3").
-Notation Zplus_opp_l := Z.add_opp_diag_l (compat "8.3").
-Notation Zplus_assoc := Z.add_assoc (compat "8.3").
-Notation Zplus_permute := Z.add_shuffle3 (compat "8.3").
-Notation Zplus_reg_l := Z.add_reg_l (compat "8.3").
-Notation Zplus_succ_l := Z.add_succ_l (compat "8.3").
-Notation Zplus_succ_comm := Z.add_succ_comm (compat "8.3").
-Notation Zsucc_discr := Z.neq_succ_diag_r (compat "8.3").
-Notation Zsucc_inj := Z.succ_inj (compat "8.3").
-Notation Zsucc'_inj := Z.succ_inj (compat "8.3").
-Notation Zsucc'_pred' := Z.succ_pred (compat "8.3").
-Notation Zpred'_succ' := Z.pred_succ (compat "8.3").
-Notation Zpred'_inj := Z.pred_inj (compat "8.3").
-Notation Zsucc'_discr := Z.neq_succ_diag_r (compat "8.3").
-Notation Zminus_0_r := Z.sub_0_r (compat "8.3").
-Notation Zminus_diag := Z.sub_diag (compat "8.3").
-Notation Zminus_plus_distr := Z.sub_add_distr (compat "8.3").
-Notation Zminus_succ_r := Z.sub_succ_r (compat "8.3").
-Notation Zminus_plus := Z.add_simpl_l (compat "8.3").
-Notation Zmult_0_l := Z.mul_0_l (compat "8.3").
-Notation Zmult_0_r := Z.mul_0_r (compat "8.3").
-Notation Zmult_1_l := Z.mul_1_l (compat "8.3").
-Notation Zmult_1_r := Z.mul_1_r (compat "8.3").
-Notation Zmult_comm := Z.mul_comm (compat "8.3").
-Notation Zmult_assoc := Z.mul_assoc (compat "8.3").
-Notation Zmult_permute := Z.mul_shuffle3 (compat "8.3").
-Notation Zmult_1_inversion_l := Z.mul_eq_1 (compat "8.3").
-Notation Zdouble_mult := Z.double_spec (compat "8.3").
-Notation Zdouble_plus_one_mult := Z.succ_double_spec (compat "8.3").
-Notation Zopp_mult_distr_l_reverse := Z.mul_opp_l (compat "8.3").
-Notation Zmult_opp_opp := Z.mul_opp_opp (compat "8.3").
-Notation Zmult_opp_comm := Z.mul_opp_comm (compat "8.3").
-Notation Zopp_eq_mult_neg_1 := Z.opp_eq_mul_m1 (compat "8.3").
-Notation Zmult_plus_distr_r := Z.mul_add_distr_l (compat "8.3").
-Notation Zmult_plus_distr_l := Z.mul_add_distr_r (compat "8.3").
-Notation Zmult_minus_distr_r := Z.mul_sub_distr_r (compat "8.3").
-Notation Zmult_reg_l := Z.mul_reg_l (compat "8.3").
-Notation Zmult_reg_r := Z.mul_reg_r (compat "8.3").
-Notation Zmult_succ_l := Z.mul_succ_l (compat "8.3").
-Notation Zmult_succ_r := Z.mul_succ_r (compat "8.3").
-
-Notation Zpos_xI := Pos2Z.inj_xI (compat "8.3").
-Notation Zpos_xO := Pos2Z.inj_xO (compat "8.3").
-Notation Zneg_xI := Pos2Z.neg_xI (compat "8.3").
-Notation Zneg_xO := Pos2Z.neg_xO (compat "8.3").
-Notation Zopp_neg := Pos2Z.opp_neg (compat "8.3").
-Notation Zpos_succ_morphism := Pos2Z.inj_succ (compat "8.3").
-Notation Zpos_mult_morphism := Pos2Z.inj_mul (compat "8.3").
-Notation Zpos_minus_morphism := Pos2Z.inj_sub (compat "8.3").
-Notation Zpos_eq_rev := Pos2Z.inj (compat "8.3").
-Notation Zpos_plus_distr := Pos2Z.inj_add (compat "8.3").
-Notation Zneg_plus_distr := Pos2Z.add_neg_neg (compat "8.3").
+Notation Zdouble_plus_one := Z.succ_double (only parsing).
+Notation Zdouble_minus_one := Z.pred_double (only parsing).
+Notation Zdouble := Z.double (compat "8.6").
+Notation ZPminus := Z.pos_sub (only parsing).
+Notation Zsucc' := Z.succ (compat "8.6").
+Notation Zpred' := Z.pred (compat "8.6").
+Notation Zplus' := Z.add (compat "8.6").
+Notation Zplus := Z.add (only parsing). (* Slightly incompatible *)
+Notation Zopp := Z.opp (compat "8.6").
+Notation Zsucc := Z.succ (compat "8.6").
+Notation Zpred := Z.pred (compat "8.6").
+Notation Zminus := Z.sub (only parsing).
+Notation Zmult := Z.mul (only parsing).
+Notation Zcompare := Z.compare (compat "8.6").
+Notation Zsgn := Z.sgn (compat "8.6").
+Notation Zle := Z.le (compat "8.6").
+Notation Zge := Z.ge (compat "8.6").
+Notation Zlt := Z.lt (compat "8.6").
+Notation Zgt := Z.gt (compat "8.6").
+Notation Zmax := Z.max (compat "8.6").
+Notation Zmin := Z.min (compat "8.6").
+Notation Zabs := Z.abs (compat "8.6").
+Notation Zabs_nat := Z.abs_nat (compat "8.6").
+Notation Zabs_N := Z.abs_N (compat "8.6").
+Notation Z_of_nat := Z.of_nat (only parsing).
+Notation Z_of_N := Z.of_N (only parsing).
+
+Notation Zind := Z.peano_ind (only parsing).
+Notation Zopp_0 := Z.opp_0 (compat "8.6").
+Notation Zopp_involutive := Z.opp_involutive (compat "8.6").
+Notation Zopp_inj := Z.opp_inj (compat "8.6").
+Notation Zplus_0_l := Z.add_0_l (only parsing).
+Notation Zplus_0_r := Z.add_0_r (only parsing).
+Notation Zplus_comm := Z.add_comm (only parsing).
+Notation Zopp_plus_distr := Z.opp_add_distr (only parsing).
+Notation Zopp_succ := Z.opp_succ (compat "8.6").
+Notation Zplus_opp_r := Z.add_opp_diag_r (only parsing).
+Notation Zplus_opp_l := Z.add_opp_diag_l (only parsing).
+Notation Zplus_assoc := Z.add_assoc (only parsing).
+Notation Zplus_permute := Z.add_shuffle3 (only parsing).
+Notation Zplus_reg_l := Z.add_reg_l (only parsing).
+Notation Zplus_succ_l := Z.add_succ_l (only parsing).
+Notation Zplus_succ_comm := Z.add_succ_comm (only parsing).
+Notation Zsucc_discr := Z.neq_succ_diag_r (only parsing).
+Notation Zsucc_inj := Z.succ_inj (compat "8.6").
+Notation Zsucc'_inj := Z.succ_inj (compat "8.6").
+Notation Zsucc'_pred' := Z.succ_pred (compat "8.6").
+Notation Zpred'_succ' := Z.pred_succ (compat "8.6").
+Notation Zpred'_inj := Z.pred_inj (compat "8.6").
+Notation Zsucc'_discr := Z.neq_succ_diag_r (only parsing).
+Notation Zminus_0_r := Z.sub_0_r (only parsing).
+Notation Zminus_diag := Z.sub_diag (only parsing).
+Notation Zminus_plus_distr := Z.sub_add_distr (only parsing).
+Notation Zminus_succ_r := Z.sub_succ_r (only parsing).
+Notation Zminus_plus := Z.add_simpl_l (only parsing).
+Notation Zmult_0_l := Z.mul_0_l (only parsing).
+Notation Zmult_0_r := Z.mul_0_r (only parsing).
+Notation Zmult_1_l := Z.mul_1_l (only parsing).
+Notation Zmult_1_r := Z.mul_1_r (only parsing).
+Notation Zmult_comm := Z.mul_comm (only parsing).
+Notation Zmult_assoc := Z.mul_assoc (only parsing).
+Notation Zmult_permute := Z.mul_shuffle3 (only parsing).
+Notation Zmult_1_inversion_l := Z.mul_eq_1 (only parsing).
+Notation Zdouble_mult := Z.double_spec (only parsing).
+Notation Zdouble_plus_one_mult := Z.succ_double_spec (only parsing).
+Notation Zopp_mult_distr_l_reverse := Z.mul_opp_l (only parsing).
+Notation Zmult_opp_opp := Z.mul_opp_opp (only parsing).
+Notation Zmult_opp_comm := Z.mul_opp_comm (only parsing).
+Notation Zopp_eq_mult_neg_1 := Z.opp_eq_mul_m1 (only parsing).
+Notation Zmult_plus_distr_r := Z.mul_add_distr_l (only parsing).
+Notation Zmult_plus_distr_l := Z.mul_add_distr_r (only parsing).
+Notation Zmult_minus_distr_r := Z.mul_sub_distr_r (only parsing).
+Notation Zmult_reg_l := Z.mul_reg_l (only parsing).
+Notation Zmult_reg_r := Z.mul_reg_r (only parsing).
+Notation Zmult_succ_l := Z.mul_succ_l (only parsing).
+Notation Zmult_succ_r := Z.mul_succ_r (only parsing).
+
+Notation Zpos_xI := Pos2Z.inj_xI (only parsing).
+Notation Zpos_xO := Pos2Z.inj_xO (only parsing).
+Notation Zneg_xI := Pos2Z.neg_xI (only parsing).
+Notation Zneg_xO := Pos2Z.neg_xO (only parsing).
+Notation Zopp_neg := Pos2Z.opp_neg (only parsing).
+Notation Zpos_succ_morphism := Pos2Z.inj_succ (only parsing).
+Notation Zpos_mult_morphism := Pos2Z.inj_mul (only parsing).
+Notation Zpos_minus_morphism := Pos2Z.inj_sub (only parsing).
+Notation Zpos_eq_rev := Pos2Z.inj (only parsing).
+Notation Zpos_plus_distr := Pos2Z.inj_add (only parsing).
+Notation Zneg_plus_distr := Pos2Z.add_neg_neg (only parsing).
Notation Z := Z (only parsing).
Notation Z_rect := Z_rect (only parsing).
diff --git a/theories/ZArith/Int.v b/theories/ZArith/Int.v
index 72021f2e4..696016e5b 100644
--- a/theories/ZArith/Int.v
+++ b/theories/ZArith/Int.v
@@ -452,7 +452,7 @@ Module Z_as_Int <: Int.
Proof. reflexivity. Qed.
(** Compatibility notations for Coq v8.4 *)
- Notation plus := add (compat "8.4").
- Notation minus := sub (compat "8.4").
- Notation mult := mul (compat "8.4").
+ Notation plus := add (only parsing).
+ Notation minus := sub (only parsing).
+ Notation mult := mul (only parsing).
End Z_as_Int.
diff --git a/theories/ZArith/ZArith_dec.v b/theories/ZArith/ZArith_dec.v
index 0ee233a35..e1a943e56 100644
--- a/theories/ZArith/ZArith_dec.v
+++ b/theories/ZArith/ZArith_dec.v
@@ -32,7 +32,7 @@ Lemma Zcompare_rec (P:Set) (n m:Z) :
((n ?= m) = Eq -> P) -> ((n ?= m) = Lt -> P) -> ((n ?= m) = Gt -> P) -> P.
Proof. apply Zcompare_rect. Defined.
-Notation Z_eq_dec := Z.eq_dec (compat "8.3").
+Notation Z_eq_dec := Z.eq_dec (compat "8.6").
Section decidability.
diff --git a/theories/ZArith/Zabs.v b/theories/ZArith/Zabs.v
index d4a46930a..440a55823 100644
--- a/theories/ZArith/Zabs.v
+++ b/theories/ZArith/Zabs.v
@@ -27,17 +27,17 @@ Local Open Scope Z_scope.
(**********************************************************************)
(** * Properties of absolute value *)
-Notation Zabs_eq := Z.abs_eq (compat "8.3").
-Notation Zabs_non_eq := Z.abs_neq (compat "8.3").
-Notation Zabs_Zopp := Z.abs_opp (compat "8.3").
-Notation Zabs_pos := Z.abs_nonneg (compat "8.3").
-Notation Zabs_involutive := Z.abs_involutive (compat "8.3").
-Notation Zabs_eq_case := Z.abs_eq_cases (compat "8.3").
-Notation Zabs_triangle := Z.abs_triangle (compat "8.3").
-Notation Zsgn_Zabs := Z.sgn_abs (compat "8.3").
-Notation Zabs_Zsgn := Z.abs_sgn (compat "8.3").
-Notation Zabs_Zmult := Z.abs_mul (compat "8.3").
-Notation Zabs_square := Z.abs_square (compat "8.3").
+Notation Zabs_eq := Z.abs_eq (compat "8.6").
+Notation Zabs_non_eq := Z.abs_neq (only parsing).
+Notation Zabs_Zopp := Z.abs_opp (only parsing).
+Notation Zabs_pos := Z.abs_nonneg (only parsing).
+Notation Zabs_involutive := Z.abs_involutive (compat "8.6").
+Notation Zabs_eq_case := Z.abs_eq_cases (only parsing).
+Notation Zabs_triangle := Z.abs_triangle (compat "8.6").
+Notation Zsgn_Zabs := Z.sgn_abs (only parsing).
+Notation Zabs_Zsgn := Z.abs_sgn (only parsing).
+Notation Zabs_Zmult := Z.abs_mul (only parsing).
+Notation Zabs_square := Z.abs_square (compat "8.6").
(** * Proving a property of the absolute value by cases *)
@@ -68,11 +68,11 @@ Qed.
(** * Some results about the sign function. *)
-Notation Zsgn_Zmult := Z.sgn_mul (compat "8.3").
-Notation Zsgn_Zopp := Z.sgn_opp (compat "8.3").
-Notation Zsgn_pos := Z.sgn_pos_iff (compat "8.3").
-Notation Zsgn_neg := Z.sgn_neg_iff (compat "8.3").
-Notation Zsgn_null := Z.sgn_null_iff (compat "8.3").
+Notation Zsgn_Zmult := Z.sgn_mul (only parsing).
+Notation Zsgn_Zopp := Z.sgn_opp (only parsing).
+Notation Zsgn_pos := Z.sgn_pos_iff (only parsing).
+Notation Zsgn_neg := Z.sgn_neg_iff (only parsing).
+Notation Zsgn_null := Z.sgn_null_iff (only parsing).
(** A characterization of the sign function: *)
@@ -86,13 +86,13 @@ Qed.
(** Compatibility *)
-Notation inj_Zabs_nat := Zabs2Nat.id_abs (compat "8.3").
-Notation Zabs_nat_Z_of_nat := Zabs2Nat.id (compat "8.3").
-Notation Zabs_nat_mult := Zabs2Nat.inj_mul (compat "8.3").
-Notation Zabs_nat_Zsucc := Zabs2Nat.inj_succ (compat "8.3").
-Notation Zabs_nat_Zplus := Zabs2Nat.inj_add (compat "8.3").
-Notation Zabs_nat_Zminus := (fun n m => Zabs2Nat.inj_sub m n) (compat "8.3").
-Notation Zabs_nat_compare := Zabs2Nat.inj_compare (compat "8.3").
+Notation inj_Zabs_nat := Zabs2Nat.id_abs (only parsing).
+Notation Zabs_nat_Z_of_nat := Zabs2Nat.id (only parsing).
+Notation Zabs_nat_mult := Zabs2Nat.inj_mul (only parsing).
+Notation Zabs_nat_Zsucc := Zabs2Nat.inj_succ (only parsing).
+Notation Zabs_nat_Zplus := Zabs2Nat.inj_add (only parsing).
+Notation Zabs_nat_Zminus := (fun n m => Zabs2Nat.inj_sub m n) (only parsing).
+Notation Zabs_nat_compare := Zabs2Nat.inj_compare (only parsing).
Lemma Zabs_nat_le n m : 0 <= n <= m -> (Z.abs_nat n <= Z.abs_nat m)%nat.
Proof.
diff --git a/theories/ZArith/Zbool.v b/theories/ZArith/Zbool.v
index 407aef3b6..eeb6c18a7 100644
--- a/theories/ZArith/Zbool.v
+++ b/theories/ZArith/Zbool.v
@@ -33,10 +33,10 @@ Definition Zeven_odd_bool (x:Z) := bool_of_sumbool (Zeven_odd_dec x).
(**********************************************************************)
(** * Boolean comparisons of binary integers *)
-Notation Zle_bool := Z.leb (compat "8.3").
-Notation Zge_bool := Z.geb (compat "8.3").
-Notation Zlt_bool := Z.ltb (compat "8.3").
-Notation Zgt_bool := Z.gtb (compat "8.3").
+Notation Zle_bool := Z.leb (only parsing).
+Notation Zge_bool := Z.geb (only parsing).
+Notation Zlt_bool := Z.ltb (only parsing).
+Notation Zgt_bool := Z.gtb (only parsing).
(** We now provide a direct [Z.eqb] that doesn't refer to [Z.compare].
The old [Zeq_bool] is kept for compatibility. *)
@@ -87,7 +87,7 @@ Proof.
apply Z.leb_le.
Qed.
-Notation Zle_bool_refl := Z.leb_refl (compat "8.3").
+Notation Zle_bool_refl := Z.leb_refl (only parsing).
Lemma Zle_bool_antisym n m :
(n <=? m) = true -> (m <=? n) = true -> n = m.
diff --git a/theories/ZArith/Zcompare.v b/theories/ZArith/Zcompare.v
index f823c41a2..69e3e9a6a 100644
--- a/theories/ZArith/Zcompare.v
+++ b/theories/ZArith/Zcompare.v
@@ -181,18 +181,18 @@ Qed.
(** Compatibility notations *)
-Notation Zcompare_refl := Z.compare_refl (compat "8.3").
-Notation Zcompare_Eq_eq := Z.compare_eq (compat "8.3").
-Notation Zcompare_Eq_iff_eq := Z.compare_eq_iff (compat "8.3").
-Notation Zcompare_spec := Z.compare_spec (compat "8.3").
-Notation Zmin_l := Z.min_l (compat "8.3").
-Notation Zmin_r := Z.min_r (compat "8.3").
-Notation Zmax_l := Z.max_l (compat "8.3").
-Notation Zmax_r := Z.max_r (compat "8.3").
-Notation Zabs_eq := Z.abs_eq (compat "8.3").
-Notation Zabs_non_eq := Z.abs_neq (compat "8.3").
-Notation Zsgn_0 := Z.sgn_null (compat "8.3").
-Notation Zsgn_1 := Z.sgn_pos (compat "8.3").
-Notation Zsgn_m1 := Z.sgn_neg (compat "8.3").
+Notation Zcompare_refl := Z.compare_refl (compat "8.6").
+Notation Zcompare_Eq_eq := Z.compare_eq (only parsing).
+Notation Zcompare_Eq_iff_eq := Z.compare_eq_iff (only parsing).
+Notation Zcompare_spec := Z.compare_spec (compat "8.6").
+Notation Zmin_l := Z.min_l (compat "8.6").
+Notation Zmin_r := Z.min_r (compat "8.6").
+Notation Zmax_l := Z.max_l (compat "8.6").
+Notation Zmax_r := Z.max_r (compat "8.6").
+Notation Zabs_eq := Z.abs_eq (compat "8.6").
+Notation Zabs_non_eq := Z.abs_neq (only parsing).
+Notation Zsgn_0 := Z.sgn_null (only parsing).
+Notation Zsgn_1 := Z.sgn_pos (only parsing).
+Notation Zsgn_m1 := Z.sgn_neg (only parsing).
(** Not kept: Zcompare_egal_dec *)
diff --git a/theories/ZArith/Zdiv.v b/theories/ZArith/Zdiv.v
index fa1ddf56f..8c4c9d301 100644
--- a/theories/ZArith/Zdiv.v
+++ b/theories/ZArith/Zdiv.v
@@ -18,16 +18,16 @@ Local Open Scope Z_scope.
(** The definition of the division is now in [BinIntDef], the initial
specifications and properties are in [BinInt]. *)
-Notation Zdiv_eucl_POS := Z.pos_div_eucl (compat "8.3").
-Notation Zdiv_eucl := Z.div_eucl (compat "8.3").
-Notation Zdiv := Z.div (compat "8.3").
-Notation Zmod := Z.modulo (compat "8.3").
-
-Notation Zdiv_eucl_eq := Z.div_eucl_eq (compat "8.3").
-Notation Z_div_mod_eq_full := Z.div_mod (compat "8.3").
-Notation Zmod_POS_bound := Z.pos_div_eucl_bound (compat "8.3").
-Notation Zmod_pos_bound := Z.mod_pos_bound (compat "8.3").
-Notation Zmod_neg_bound := Z.mod_neg_bound (compat "8.3").
+Notation Zdiv_eucl_POS := Z.pos_div_eucl (only parsing).
+Notation Zdiv_eucl := Z.div_eucl (compat "8.6").
+Notation Zdiv := Z.div (compat "8.6").
+Notation Zmod := Z.modulo (only parsing).
+
+Notation Zdiv_eucl_eq := Z.div_eucl_eq (compat "8.6").
+Notation Z_div_mod_eq_full := Z.div_mod (only parsing).
+Notation Zmod_POS_bound := Z.pos_div_eucl_bound (only parsing).
+Notation Zmod_pos_bound := Z.mod_pos_bound (only parsing).
+Notation Zmod_neg_bound := Z.mod_neg_bound (only parsing).
(** * Main division theorems *)
diff --git a/theories/ZArith/Zeven.v b/theories/ZArith/Zeven.v
index 42a6a8ee3..44b4a0083 100644
--- a/theories/ZArith/Zeven.v
+++ b/theories/ZArith/Zeven.v
@@ -58,8 +58,8 @@ Proof (Zodd_equiv n).
(** Boolean tests of parity (now in BinInt.Z) *)
-Notation Zeven_bool := Z.even (compat "8.3").
-Notation Zodd_bool := Z.odd (compat "8.3").
+Notation Zeven_bool := Z.even (only parsing).
+Notation Zodd_bool := Z.odd (only parsing).
Lemma Zeven_bool_iff n : Z.even n = true <-> Zeven n.
Proof.
@@ -130,17 +130,17 @@ Qed.
Hint Unfold Zeven Zodd: zarith.
-Notation Zeven_bool_succ := Z.even_succ (compat "8.3").
-Notation Zeven_bool_pred := Z.even_pred (compat "8.3").
-Notation Zodd_bool_succ := Z.odd_succ (compat "8.3").
-Notation Zodd_bool_pred := Z.odd_pred (compat "8.3").
+Notation Zeven_bool_succ := Z.even_succ (only parsing).
+Notation Zeven_bool_pred := Z.even_pred (only parsing).
+Notation Zodd_bool_succ := Z.odd_succ (only parsing).
+Notation Zodd_bool_pred := Z.odd_pred (only parsing).
(******************************************************************)
(** * Definition of [Z.quot2], [Z.div2] and properties wrt [Zeven]
and [Zodd] *)
-Notation Zdiv2 := Z.div2 (compat "8.3").
-Notation Zquot2 := Z.quot2 (compat "8.3").
+Notation Zdiv2 := Z.div2 (compat "8.6").
+Notation Zquot2 := Z.quot2 (compat "8.6").
(** Properties of [Z.div2] *)
diff --git a/theories/ZArith/Zmax.v b/theories/ZArith/Zmax.v
index b52da8563..36d8451f8 100644
--- a/theories/ZArith/Zmax.v
+++ b/theories/ZArith/Zmax.v
@@ -16,32 +16,32 @@ Local Open Scope Z_scope.
(** Exact compatibility *)
-Notation Zmax_case := Z.max_case (compat "8.3").
-Notation Zmax_case_strong := Z.max_case_strong (compat "8.3").
-Notation Zmax_right := Z.max_r (compat "8.3").
-Notation Zle_max_l := Z.le_max_l (compat "8.3").
-Notation Zle_max_r := Z.le_max_r (compat "8.3").
-Notation Zmax_lub := Z.max_lub (compat "8.3").
-Notation Zmax_lub_lt := Z.max_lub_lt (compat "8.3").
-Notation Zle_max_compat_r := Z.max_le_compat_r (compat "8.3").
-Notation Zle_max_compat_l := Z.max_le_compat_l (compat "8.3").
-Notation Zmax_idempotent := Z.max_id (compat "8.3").
-Notation Zmax_n_n := Z.max_id (compat "8.3").
-Notation Zmax_comm := Z.max_comm (compat "8.3").
-Notation Zmax_assoc := Z.max_assoc (compat "8.3").
-Notation Zmax_irreducible_dec := Z.max_dec (compat "8.3").
-Notation Zmax_le_prime := Z.max_le (compat "8.3").
-Notation Zsucc_max_distr := Z.succ_max_distr (compat "8.3").
-Notation Zmax_SS := Z.succ_max_distr (compat "8.3").
-Notation Zplus_max_distr_l := Z.add_max_distr_l (compat "8.3").
-Notation Zplus_max_distr_r := Z.add_max_distr_r (compat "8.3").
-Notation Zmax_plus := Z.add_max_distr_r (compat "8.3").
-Notation Zmax1 := Z.le_max_l (compat "8.3").
-Notation Zmax2 := Z.le_max_r (compat "8.3").
-Notation Zmax_irreducible_inf := Z.max_dec (compat "8.3").
-Notation Zmax_le_prime_inf := Z.max_le (compat "8.3").
-Notation Zpos_max := Pos2Z.inj_max (compat "8.3").
-Notation Zpos_minus := Pos2Z.inj_sub_max (compat "8.3").
+Notation Zmax_case := Z.max_case (compat "8.6").
+Notation Zmax_case_strong := Z.max_case_strong (compat "8.6").
+Notation Zmax_right := Z.max_r (only parsing).
+Notation Zle_max_l := Z.le_max_l (compat "8.6").
+Notation Zle_max_r := Z.le_max_r (compat "8.6").
+Notation Zmax_lub := Z.max_lub (compat "8.6").
+Notation Zmax_lub_lt := Z.max_lub_lt (compat "8.6").
+Notation Zle_max_compat_r := Z.max_le_compat_r (only parsing).
+Notation Zle_max_compat_l := Z.max_le_compat_l (only parsing).
+Notation Zmax_idempotent := Z.max_id (only parsing).
+Notation Zmax_n_n := Z.max_id (only parsing).
+Notation Zmax_comm := Z.max_comm (compat "8.6").
+Notation Zmax_assoc := Z.max_assoc (compat "8.6").
+Notation Zmax_irreducible_dec := Z.max_dec (only parsing).
+Notation Zmax_le_prime := Z.max_le (only parsing).
+Notation Zsucc_max_distr := Z.succ_max_distr (compat "8.6").
+Notation Zmax_SS := Z.succ_max_distr (only parsing).
+Notation Zplus_max_distr_l := Z.add_max_distr_l (only parsing).
+Notation Zplus_max_distr_r := Z.add_max_distr_r (only parsing).
+Notation Zmax_plus := Z.add_max_distr_r (only parsing).
+Notation Zmax1 := Z.le_max_l (only parsing).
+Notation Zmax2 := Z.le_max_r (only parsing).
+Notation Zmax_irreducible_inf := Z.max_dec (only parsing).
+Notation Zmax_le_prime_inf := Z.max_le (only parsing).
+Notation Zpos_max := Pos2Z.inj_max (only parsing).
+Notation Zpos_minus := Pos2Z.inj_sub_max (only parsing).
(** Slightly different lemmas *)
diff --git a/theories/ZArith/Zmin.v b/theories/ZArith/Zmin.v
index d9e3ab19e..dd9203f33 100644
--- a/theories/ZArith/Zmin.v
+++ b/theories/ZArith/Zmin.v
@@ -16,24 +16,24 @@ Local Open Scope Z_scope.
(** Exact compatibility *)
-Notation Zmin_case := Z.min_case (compat "8.3").
-Notation Zmin_case_strong := Z.min_case_strong (compat "8.3").
-Notation Zle_min_l := Z.le_min_l (compat "8.3").
-Notation Zle_min_r := Z.le_min_r (compat "8.3").
-Notation Zmin_glb := Z.min_glb (compat "8.3").
-Notation Zmin_glb_lt := Z.min_glb_lt (compat "8.3").
-Notation Zle_min_compat_r := Z.min_le_compat_r (compat "8.3").
-Notation Zle_min_compat_l := Z.min_le_compat_l (compat "8.3").
-Notation Zmin_idempotent := Z.min_id (compat "8.3").
-Notation Zmin_n_n := Z.min_id (compat "8.3").
-Notation Zmin_comm := Z.min_comm (compat "8.3").
-Notation Zmin_assoc := Z.min_assoc (compat "8.3").
-Notation Zmin_irreducible_inf := Z.min_dec (compat "8.3").
-Notation Zsucc_min_distr := Z.succ_min_distr (compat "8.3").
-Notation Zmin_SS := Z.succ_min_distr (compat "8.3").
-Notation Zplus_min_distr_r := Z.add_min_distr_r (compat "8.3").
-Notation Zmin_plus := Z.add_min_distr_r (compat "8.3").
-Notation Zpos_min := Pos2Z.inj_min (compat "8.3").
+Notation Zmin_case := Z.min_case (compat "8.6").
+Notation Zmin_case_strong := Z.min_case_strong (compat "8.6").
+Notation Zle_min_l := Z.le_min_l (compat "8.6").
+Notation Zle_min_r := Z.le_min_r (compat "8.6").
+Notation Zmin_glb := Z.min_glb (compat "8.6").
+Notation Zmin_glb_lt := Z.min_glb_lt (compat "8.6").
+Notation Zle_min_compat_r := Z.min_le_compat_r (only parsing).
+Notation Zle_min_compat_l := Z.min_le_compat_l (only parsing).
+Notation Zmin_idempotent := Z.min_id (only parsing).
+Notation Zmin_n_n := Z.min_id (only parsing).
+Notation Zmin_comm := Z.min_comm (compat "8.6").
+Notation Zmin_assoc := Z.min_assoc (compat "8.6").
+Notation Zmin_irreducible_inf := Z.min_dec (only parsing).
+Notation Zsucc_min_distr := Z.succ_min_distr (compat "8.6").
+Notation Zmin_SS := Z.succ_min_distr (only parsing).
+Notation Zplus_min_distr_r := Z.add_min_distr_r (only parsing).
+Notation Zmin_plus := Z.add_min_distr_r (only parsing).
+Notation Zpos_min := Pos2Z.inj_min (only parsing).
(** Slightly different lemmas *)
@@ -46,7 +46,7 @@ Qed.
Lemma Zmin_irreducible n m : Z.min n m = n \/ Z.min n m = m.
Proof. destruct (Z.min_dec n m); auto. Qed.
-Notation Zmin_or := Zmin_irreducible (compat "8.3").
+Notation Zmin_or := Zmin_irreducible (only parsing).
Lemma Zmin_le_prime_inf n m p : Z.min n m <= p -> {n <= p} + {m <= p}.
Proof. apply Z.min_case; auto. Qed.
diff --git a/theories/ZArith/Zminmax.v b/theories/ZArith/Zminmax.v
index 7e62d6689..4a149f2f2 100644
--- a/theories/ZArith/Zminmax.v
+++ b/theories/ZArith/Zminmax.v
@@ -12,11 +12,11 @@ Require Import Orders BinInt Zcompare Zorder.
(*begin hide*)
(* Compatibility with names of the old Zminmax file *)
-Notation Zmin_max_absorption_r_r := Z.min_max_absorption (compat "8.3").
-Notation Zmax_min_absorption_r_r := Z.max_min_absorption (compat "8.3").
-Notation Zmax_min_distr_r := Z.max_min_distr (compat "8.3").
-Notation Zmin_max_distr_r := Z.min_max_distr (compat "8.3").
-Notation Zmax_min_modular_r := Z.max_min_modular (compat "8.3").
-Notation Zmin_max_modular_r := Z.min_max_modular (compat "8.3").
-Notation max_min_disassoc := Z.max_min_disassoc (compat "8.3").
+Notation Zmin_max_absorption_r_r := Z.min_max_absorption (only parsing).
+Notation Zmax_min_absorption_r_r := Z.max_min_absorption (only parsing).
+Notation Zmax_min_distr_r := Z.max_min_distr (only parsing).
+Notation Zmin_max_distr_r := Z.min_max_distr (only parsing).
+Notation Zmax_min_modular_r := Z.max_min_modular (only parsing).
+Notation Zmin_max_modular_r := Z.min_max_modular (only parsing).
+Notation max_min_disassoc := Z.max_min_disassoc (only parsing).
(*end hide*)
diff --git a/theories/ZArith/Zmisc.v b/theories/ZArith/Zmisc.v
index a6f29936b..651cda00b 100644
--- a/theories/ZArith/Zmisc.v
+++ b/theories/ZArith/Zmisc.v
@@ -18,7 +18,7 @@ Local Open Scope Z_scope.
(** [n]th iteration of the function [f] *)
-Notation iter := @Z.iter (compat "8.3").
+Notation iter := @Z.iter (only parsing).
Lemma iter_nat_of_Z : forall n A f x, 0 <= n ->
Z.iter n f x = iter_nat (Z.abs_nat n) A f x.
diff --git a/theories/ZArith/Znat.v b/theories/ZArith/Znat.v
index be712db6b..402dfe33a 100644
--- a/theories/ZArith/Znat.v
+++ b/theories/ZArith/Znat.v
@@ -951,65 +951,65 @@ Definition inj_gt n m := proj1 (Nat2Z.inj_gt n m).
(** For the others, a Notation is fine *)
-Notation inj_0 := Nat2Z.inj_0 (compat "8.3").
-Notation inj_S := Nat2Z.inj_succ (compat "8.3").
-Notation inj_compare := Nat2Z.inj_compare (compat "8.3").
-Notation inj_eq_rev := Nat2Z.inj (compat "8.3").
-Notation inj_eq_iff := (fun n m => iff_sym (Nat2Z.inj_iff n m)) (compat "8.3").
-Notation inj_le_iff := Nat2Z.inj_le (compat "8.3").
-Notation inj_lt_iff := Nat2Z.inj_lt (compat "8.3").
-Notation inj_ge_iff := Nat2Z.inj_ge (compat "8.3").
-Notation inj_gt_iff := Nat2Z.inj_gt (compat "8.3").
-Notation inj_le_rev := (fun n m => proj2 (Nat2Z.inj_le n m)) (compat "8.3").
-Notation inj_lt_rev := (fun n m => proj2 (Nat2Z.inj_lt n m)) (compat "8.3").
-Notation inj_ge_rev := (fun n m => proj2 (Nat2Z.inj_ge n m)) (compat "8.3").
-Notation inj_gt_rev := (fun n m => proj2 (Nat2Z.inj_gt n m)) (compat "8.3").
-Notation inj_plus := Nat2Z.inj_add (compat "8.3").
-Notation inj_mult := Nat2Z.inj_mul (compat "8.3").
-Notation inj_minus1 := Nat2Z.inj_sub (compat "8.3").
-Notation inj_minus := Nat2Z.inj_sub_max (compat "8.3").
-Notation inj_min := Nat2Z.inj_min (compat "8.3").
-Notation inj_max := Nat2Z.inj_max (compat "8.3").
-
-Notation Z_of_nat_of_P := positive_nat_Z (compat "8.3").
+Notation inj_0 := Nat2Z.inj_0 (only parsing).
+Notation inj_S := Nat2Z.inj_succ (only parsing).
+Notation inj_compare := Nat2Z.inj_compare (only parsing).
+Notation inj_eq_rev := Nat2Z.inj (only parsing).
+Notation inj_eq_iff := (fun n m => iff_sym (Nat2Z.inj_iff n m)) (only parsing).
+Notation inj_le_iff := Nat2Z.inj_le (only parsing).
+Notation inj_lt_iff := Nat2Z.inj_lt (only parsing).
+Notation inj_ge_iff := Nat2Z.inj_ge (only parsing).
+Notation inj_gt_iff := Nat2Z.inj_gt (only parsing).
+Notation inj_le_rev := (fun n m => proj2 (Nat2Z.inj_le n m)) (only parsing).
+Notation inj_lt_rev := (fun n m => proj2 (Nat2Z.inj_lt n m)) (only parsing).
+Notation inj_ge_rev := (fun n m => proj2 (Nat2Z.inj_ge n m)) (only parsing).
+Notation inj_gt_rev := (fun n m => proj2 (Nat2Z.inj_gt n m)) (only parsing).
+Notation inj_plus := Nat2Z.inj_add (only parsing).
+Notation inj_mult := Nat2Z.inj_mul (only parsing).
+Notation inj_minus1 := Nat2Z.inj_sub (only parsing).
+Notation inj_minus := Nat2Z.inj_sub_max (only parsing).
+Notation inj_min := Nat2Z.inj_min (only parsing).
+Notation inj_max := Nat2Z.inj_max (only parsing).
+
+Notation Z_of_nat_of_P := positive_nat_Z (only parsing).
Notation Zpos_eq_Z_of_nat_o_nat_of_P :=
- (fun p => eq_sym (positive_nat_Z p)) (compat "8.3").
-
-Notation Z_of_nat_of_N := N_nat_Z (compat "8.3").
-Notation Z_of_N_of_nat := nat_N_Z (compat "8.3").
-
-Notation Z_of_N_eq := (f_equal Z.of_N) (compat "8.3").
-Notation Z_of_N_eq_rev := N2Z.inj (compat "8.3").
-Notation Z_of_N_eq_iff := (fun n m => iff_sym (N2Z.inj_iff n m)) (compat "8.3").
-Notation Z_of_N_compare := N2Z.inj_compare (compat "8.3").
-Notation Z_of_N_le_iff := N2Z.inj_le (compat "8.3").
-Notation Z_of_N_lt_iff := N2Z.inj_lt (compat "8.3").
-Notation Z_of_N_ge_iff := N2Z.inj_ge (compat "8.3").
-Notation Z_of_N_gt_iff := N2Z.inj_gt (compat "8.3").
-Notation Z_of_N_le := (fun n m => proj1 (N2Z.inj_le n m)) (compat "8.3").
-Notation Z_of_N_lt := (fun n m => proj1 (N2Z.inj_lt n m)) (compat "8.3").
-Notation Z_of_N_ge := (fun n m => proj1 (N2Z.inj_ge n m)) (compat "8.3").
-Notation Z_of_N_gt := (fun n m => proj1 (N2Z.inj_gt n m)) (compat "8.3").
-Notation Z_of_N_le_rev := (fun n m => proj2 (N2Z.inj_le n m)) (compat "8.3").
-Notation Z_of_N_lt_rev := (fun n m => proj2 (N2Z.inj_lt n m)) (compat "8.3").
-Notation Z_of_N_ge_rev := (fun n m => proj2 (N2Z.inj_ge n m)) (compat "8.3").
-Notation Z_of_N_gt_rev := (fun n m => proj2 (N2Z.inj_gt n m)) (compat "8.3").
-Notation Z_of_N_pos := N2Z.inj_pos (compat "8.3").
-Notation Z_of_N_abs := N2Z.inj_abs_N (compat "8.3").
-Notation Z_of_N_le_0 := N2Z.is_nonneg (compat "8.3").
-Notation Z_of_N_plus := N2Z.inj_add (compat "8.3").
-Notation Z_of_N_mult := N2Z.inj_mul (compat "8.3").
-Notation Z_of_N_minus := N2Z.inj_sub_max (compat "8.3").
-Notation Z_of_N_succ := N2Z.inj_succ (compat "8.3").
-Notation Z_of_N_min := N2Z.inj_min (compat "8.3").
-Notation Z_of_N_max := N2Z.inj_max (compat "8.3").
-Notation Zabs_of_N := Zabs2N.id (compat "8.3").
-Notation Zabs_N_succ_abs := Zabs2N.inj_succ_abs (compat "8.3").
-Notation Zabs_N_succ := Zabs2N.inj_succ (compat "8.3").
-Notation Zabs_N_plus_abs := Zabs2N.inj_add_abs (compat "8.3").
-Notation Zabs_N_plus := Zabs2N.inj_add (compat "8.3").
-Notation Zabs_N_mult_abs := Zabs2N.inj_mul_abs (compat "8.3").
-Notation Zabs_N_mult := Zabs2N.inj_mul (compat "8.3").
+ (fun p => eq_sym (positive_nat_Z p)) (only parsing).
+
+Notation Z_of_nat_of_N := N_nat_Z (only parsing).
+Notation Z_of_N_of_nat := nat_N_Z (only parsing).
+
+Notation Z_of_N_eq := (f_equal Z.of_N) (only parsing).
+Notation Z_of_N_eq_rev := N2Z.inj (only parsing).
+Notation Z_of_N_eq_iff := (fun n m => iff_sym (N2Z.inj_iff n m)) (only parsing).
+Notation Z_of_N_compare := N2Z.inj_compare (only parsing).
+Notation Z_of_N_le_iff := N2Z.inj_le (only parsing).
+Notation Z_of_N_lt_iff := N2Z.inj_lt (only parsing).
+Notation Z_of_N_ge_iff := N2Z.inj_ge (only parsing).
+Notation Z_of_N_gt_iff := N2Z.inj_gt (only parsing).
+Notation Z_of_N_le := (fun n m => proj1 (N2Z.inj_le n m)) (only parsing).
+Notation Z_of_N_lt := (fun n m => proj1 (N2Z.inj_lt n m)) (only parsing).
+Notation Z_of_N_ge := (fun n m => proj1 (N2Z.inj_ge n m)) (only parsing).
+Notation Z_of_N_gt := (fun n m => proj1 (N2Z.inj_gt n m)) (only parsing).
+Notation Z_of_N_le_rev := (fun n m => proj2 (N2Z.inj_le n m)) (only parsing).
+Notation Z_of_N_lt_rev := (fun n m => proj2 (N2Z.inj_lt n m)) (only parsing).
+Notation Z_of_N_ge_rev := (fun n m => proj2 (N2Z.inj_ge n m)) (only parsing).
+Notation Z_of_N_gt_rev := (fun n m => proj2 (N2Z.inj_gt n m)) (only parsing).
+Notation Z_of_N_pos := N2Z.inj_pos (only parsing).
+Notation Z_of_N_abs := N2Z.inj_abs_N (only parsing).
+Notation Z_of_N_le_0 := N2Z.is_nonneg (only parsing).
+Notation Z_of_N_plus := N2Z.inj_add (only parsing).
+Notation Z_of_N_mult := N2Z.inj_mul (only parsing).
+Notation Z_of_N_minus := N2Z.inj_sub_max (only parsing).
+Notation Z_of_N_succ := N2Z.inj_succ (only parsing).
+Notation Z_of_N_min := N2Z.inj_min (only parsing).
+Notation Z_of_N_max := N2Z.inj_max (only parsing).
+Notation Zabs_of_N := Zabs2N.id (only parsing).
+Notation Zabs_N_succ_abs := Zabs2N.inj_succ_abs (only parsing).
+Notation Zabs_N_succ := Zabs2N.inj_succ (only parsing).
+Notation Zabs_N_plus_abs := Zabs2N.inj_add_abs (only parsing).
+Notation Zabs_N_plus := Zabs2N.inj_add (only parsing).
+Notation Zabs_N_mult_abs := Zabs2N.inj_mul_abs (only parsing).
+Notation Zabs_N_mult := Zabs2N.inj_mul (only parsing).
Theorem inj_minus2 : forall n m:nat, (m > n)%nat -> Z.of_nat (n - m) = 0.
Proof.
diff --git a/theories/ZArith/Znumtheory.v b/theories/ZArith/Znumtheory.v
index 5dfc37095..521d6789e 100644
--- a/theories/ZArith/Znumtheory.v
+++ b/theories/ZArith/Znumtheory.v
@@ -25,20 +25,20 @@ Open Scope Z_scope.
- properties of the efficient [Z.gcd] function
*)
-Notation Zgcd := Z.gcd (compat "8.3").
-Notation Zggcd := Z.ggcd (compat "8.3").
-Notation Zggcd_gcd := Z.ggcd_gcd (compat "8.3").
-Notation Zggcd_correct_divisors := Z.ggcd_correct_divisors (compat "8.3").
-Notation Zgcd_divide_l := Z.gcd_divide_l (compat "8.3").
-Notation Zgcd_divide_r := Z.gcd_divide_r (compat "8.3").
-Notation Zgcd_greatest := Z.gcd_greatest (compat "8.3").
-Notation Zgcd_nonneg := Z.gcd_nonneg (compat "8.3").
-Notation Zggcd_opp := Z.ggcd_opp (compat "8.3").
+Notation Zgcd := Z.gcd (compat "8.6").
+Notation Zggcd := Z.ggcd (compat "8.6").
+Notation Zggcd_gcd := Z.ggcd_gcd (compat "8.6").
+Notation Zggcd_correct_divisors := Z.ggcd_correct_divisors (compat "8.6").
+Notation Zgcd_divide_l := Z.gcd_divide_l (compat "8.6").
+Notation Zgcd_divide_r := Z.gcd_divide_r (compat "8.6").
+Notation Zgcd_greatest := Z.gcd_greatest (compat "8.6").
+Notation Zgcd_nonneg := Z.gcd_nonneg (compat "8.6").
+Notation Zggcd_opp := Z.ggcd_opp (compat "8.6").
(** The former specialized inductive predicate [Z.divide] is now
a generic existential predicate. *)
-Notation Zdivide := Z.divide (compat "8.3").
+Notation Zdivide := Z.divide (compat "8.6").
(** Its former constructor is now a pseudo-constructor. *)
@@ -46,17 +46,17 @@ Definition Zdivide_intro a b q (H:b=q*a) : Z.divide a b := ex_intro _ q H.
(** Results concerning divisibility*)
-Notation Zdivide_refl := Z.divide_refl (compat "8.3").
-Notation Zone_divide := Z.divide_1_l (compat "8.3").
-Notation Zdivide_0 := Z.divide_0_r (compat "8.3").
-Notation Zmult_divide_compat_l := Z.mul_divide_mono_l (compat "8.3").
-Notation Zmult_divide_compat_r := Z.mul_divide_mono_r (compat "8.3").
-Notation Zdivide_plus_r := Z.divide_add_r (compat "8.3").
-Notation Zdivide_minus_l := Z.divide_sub_r (compat "8.3").
-Notation Zdivide_mult_l := Z.divide_mul_l (compat "8.3").
-Notation Zdivide_mult_r := Z.divide_mul_r (compat "8.3").
-Notation Zdivide_factor_r := Z.divide_factor_l (compat "8.3").
-Notation Zdivide_factor_l := Z.divide_factor_r (compat "8.3").
+Notation Zdivide_refl := Z.divide_refl (compat "8.6").
+Notation Zone_divide := Z.divide_1_l (only parsing).
+Notation Zdivide_0 := Z.divide_0_r (only parsing).
+Notation Zmult_divide_compat_l := Z.mul_divide_mono_l (only parsing).
+Notation Zmult_divide_compat_r := Z.mul_divide_mono_r (only parsing).
+Notation Zdivide_plus_r := Z.divide_add_r (only parsing).
+Notation Zdivide_minus_l := Z.divide_sub_r (only parsing).
+Notation Zdivide_mult_l := Z.divide_mul_l (only parsing).
+Notation Zdivide_mult_r := Z.divide_mul_r (only parsing).
+Notation Zdivide_factor_r := Z.divide_factor_l (only parsing).
+Notation Zdivide_factor_l := Z.divide_factor_r (only parsing).
Lemma Zdivide_opp_r a b : (a | b) -> (a | - b).
Proof. apply Z.divide_opp_r. Qed.
@@ -91,12 +91,12 @@ Qed.
(** Only [1] and [-1] divide [1]. *)
-Notation Zdivide_1 := Z.divide_1_r (compat "8.3").
+Notation Zdivide_1 := Z.divide_1_r (only parsing).
(** If [a] divides [b] and [b] divides [a] then [a] is [b] or [-b]. *)
-Notation Zdivide_antisym := Z.divide_antisym (compat "8.3").
-Notation Zdivide_trans := Z.divide_trans (compat "8.3").
+Notation Zdivide_antisym := Z.divide_antisym (compat "8.6").
+Notation Zdivide_trans := Z.divide_trans (compat "8.6").
(** If [a] divides [b] and [b<>0] then [|a| <= |b|]. *)
@@ -734,7 +734,7 @@ Qed.
(** we now prove that [Z.gcd] is indeed a gcd in
the sense of [Zis_gcd]. *)
-Notation Zgcd_is_pos := Z.gcd_nonneg (compat "8.3").
+Notation Zgcd_is_pos := Z.gcd_nonneg (only parsing).
Lemma Zgcd_is_gcd : forall a b, Zis_gcd a b (Z.gcd a b).
Proof.
@@ -767,8 +767,8 @@ Proof.
- subst. now case (Z.gcd a b).
Qed.
-Notation Zgcd_inv_0_l := Z.gcd_eq_0_l (compat "8.3").
-Notation Zgcd_inv_0_r := Z.gcd_eq_0_r (compat "8.3").
+Notation Zgcd_inv_0_l := Z.gcd_eq_0_l (only parsing).
+Notation Zgcd_inv_0_r := Z.gcd_eq_0_r (only parsing).
Theorem Zgcd_div_swap0 : forall a b : Z,
0 < Z.gcd a b ->
@@ -798,16 +798,16 @@ Proof.
rewrite <- Zdivide_Zdiv_eq; auto.
Qed.
-Notation Zgcd_comm := Z.gcd_comm (compat "8.3").
+Notation Zgcd_comm := Z.gcd_comm (compat "8.6").
Lemma Zgcd_ass a b c : Z.gcd (Z.gcd a b) c = Z.gcd a (Z.gcd b c).
Proof.
symmetry. apply Z.gcd_assoc.
Qed.
-Notation Zgcd_Zabs := Z.gcd_abs_l (compat "8.3").
-Notation Zgcd_0 := Z.gcd_0_r (compat "8.3").
-Notation Zgcd_1 := Z.gcd_1_r (compat "8.3").
+Notation Zgcd_Zabs := Z.gcd_abs_l (only parsing).
+Notation Zgcd_0 := Z.gcd_0_r (only parsing).
+Notation Zgcd_1 := Z.gcd_1_r (only parsing).
Hint Resolve Z.gcd_0_r Z.gcd_1_r : zarith.
diff --git a/theories/ZArith/Zorder.v b/theories/ZArith/Zorder.v
index ff8e22029..d188681fe 100644
--- a/theories/ZArith/Zorder.v
+++ b/theories/ZArith/Zorder.v
@@ -38,9 +38,9 @@ Qed.
(**********************************************************************)
(** * Decidability of equality and order on Z *)
-Notation dec_eq := Z.eq_decidable (compat "8.3").
-Notation dec_Zle := Z.le_decidable (compat "8.3").
-Notation dec_Zlt := Z.lt_decidable (compat "8.3").
+Notation dec_eq := Z.eq_decidable (only parsing).
+Notation dec_Zle := Z.le_decidable (only parsing).
+Notation dec_Zlt := Z.lt_decidable (only parsing).
Theorem dec_Zne n m : decidable (Zne n m).
Proof.
@@ -64,12 +64,12 @@ Qed.
(** * Relating strict and large orders *)
-Notation Zgt_lt := Z.gt_lt (compat "8.3").
-Notation Zlt_gt := Z.lt_gt (compat "8.3").
-Notation Zge_le := Z.ge_le (compat "8.3").
-Notation Zle_ge := Z.le_ge (compat "8.3").
-Notation Zgt_iff_lt := Z.gt_lt_iff (compat "8.3").
-Notation Zge_iff_le := Z.ge_le_iff (compat "8.3").
+Notation Zgt_lt := Z.gt_lt (compat "8.6").
+Notation Zlt_gt := Z.lt_gt (compat "8.6").
+Notation Zge_le := Z.ge_le (compat "8.6").
+Notation Zle_ge := Z.le_ge (compat "8.6").
+Notation Zgt_iff_lt := Z.gt_lt_iff (only parsing).
+Notation Zge_iff_le := Z.ge_le_iff (only parsing).
Lemma Zle_not_lt n m : n <= m -> ~ m < n.
Proof.
@@ -121,18 +121,18 @@ Qed.
(** Reflexivity *)
-Notation Zle_refl := Z.le_refl (compat "8.3").
-Notation Zeq_le := Z.eq_le_incl (compat "8.3").
+Notation Zle_refl := Z.le_refl (compat "8.6").
+Notation Zeq_le := Z.eq_le_incl (only parsing).
Hint Resolve Z.le_refl: zarith.
(** Antisymmetry *)
-Notation Zle_antisym := Z.le_antisymm (compat "8.3").
+Notation Zle_antisym := Z.le_antisymm (only parsing).
(** Asymmetry *)
-Notation Zlt_asym := Z.lt_asymm (compat "8.3").
+Notation Zlt_asym := Z.lt_asymm (only parsing).
Lemma Zgt_asym n m : n > m -> ~ m > n.
Proof.
@@ -141,8 +141,8 @@ Qed.
(** Irreflexivity *)
-Notation Zlt_irrefl := Z.lt_irrefl (compat "8.3").
-Notation Zlt_not_eq := Z.lt_neq (compat "8.3").
+Notation Zlt_irrefl := Z.lt_irrefl (compat "8.6").
+Notation Zlt_not_eq := Z.lt_neq (only parsing).
Lemma Zgt_irrefl n : ~ n > n.
Proof.
@@ -151,8 +151,8 @@ Qed.
(** Large = strict or equal *)
-Notation Zlt_le_weak := Z.lt_le_incl (compat "8.3").
-Notation Zle_lt_or_eq_iff := Z.lt_eq_cases (compat "8.3").
+Notation Zlt_le_weak := Z.lt_le_incl (only parsing).
+Notation Zle_lt_or_eq_iff := Z.lt_eq_cases (only parsing).
Lemma Zle_lt_or_eq n m : n <= m -> n < m \/ n = m.
Proof.
@@ -161,11 +161,11 @@ Qed.
(** Dichotomy *)
-Notation Zle_or_lt := Z.le_gt_cases (compat "8.3").
+Notation Zle_or_lt := Z.le_gt_cases (only parsing).
(** Transitivity of strict orders *)
-Notation Zlt_trans := Z.lt_trans (compat "8.3").
+Notation Zlt_trans := Z.lt_trans (compat "8.6").
Lemma Zgt_trans n m p : n > m -> m > p -> n > p.
Proof.
@@ -174,8 +174,8 @@ Qed.
(** Mixed transitivity *)
-Notation Zlt_le_trans := Z.lt_le_trans (compat "8.3").
-Notation Zle_lt_trans := Z.le_lt_trans (compat "8.3").
+Notation Zlt_le_trans := Z.lt_le_trans (compat "8.6").
+Notation Zle_lt_trans := Z.le_lt_trans (compat "8.6").
Lemma Zle_gt_trans n m p : m <= n -> m > p -> n > p.
Proof.
@@ -189,7 +189,7 @@ Qed.
(** Transitivity of large orders *)
-Notation Zle_trans := Z.le_trans (compat "8.3").
+Notation Zle_trans := Z.le_trans (compat "8.6").
Lemma Zge_trans n m p : n >= m -> m >= p -> n >= p.
Proof.
@@ -240,8 +240,8 @@ Qed.
(** Special base instances of order *)
-Notation Zlt_succ := Z.lt_succ_diag_r (compat "8.3").
-Notation Zlt_pred := Z.lt_pred_l (compat "8.3").
+Notation Zlt_succ := Z.lt_succ_diag_r (only parsing).
+Notation Zlt_pred := Z.lt_pred_l (only parsing).
Lemma Zgt_succ n : Z.succ n > n.
Proof.
@@ -255,8 +255,8 @@ Qed.
(** Relating strict and large order using successor or predecessor *)
-Notation Zlt_succ_r := Z.lt_succ_r (compat "8.3").
-Notation Zle_succ_l := Z.le_succ_l (compat "8.3").
+Notation Zlt_succ_r := Z.lt_succ_r (compat "8.6").
+Notation Zle_succ_l := Z.le_succ_l (compat "8.6").
Lemma Zgt_le_succ n m : m > n -> Z.succ n <= m.
Proof.
@@ -295,10 +295,10 @@ Qed.
(** Weakening order *)
-Notation Zle_succ := Z.le_succ_diag_r (compat "8.3").
-Notation Zle_pred := Z.le_pred_l (compat "8.3").
-Notation Zlt_lt_succ := Z.lt_lt_succ_r (compat "8.3").
-Notation Zle_le_succ := Z.le_le_succ_r (compat "8.3").
+Notation Zle_succ := Z.le_succ_diag_r (only parsing).
+Notation Zle_pred := Z.le_pred_l (only parsing).
+Notation Zlt_lt_succ := Z.lt_lt_succ_r (only parsing).
+Notation Zle_le_succ := Z.le_le_succ_r (only parsing).
Lemma Zle_succ_le n m : Z.succ n <= m -> n <= m.
Proof.
@@ -334,8 +334,8 @@ Qed.
(** Special cases of ordered integers *)
-Notation Zlt_0_1 := Z.lt_0_1 (compat "8.3").
-Notation Zle_0_1 := Z.le_0_1 (compat "8.3").
+Notation Zlt_0_1 := Z.lt_0_1 (compat "8.6").
+Notation Zle_0_1 := Z.le_0_1 (compat "8.6").
Lemma Zle_neg_pos : forall p q:positive, Zneg p <= Zpos q.
Proof.
@@ -375,10 +375,10 @@ Qed.
(** ** Addition *)
(** Compatibility of addition wrt to order *)
-Notation Zplus_lt_le_compat := Z.add_lt_le_mono (compat "8.3").
-Notation Zplus_le_lt_compat := Z.add_le_lt_mono (compat "8.3").
-Notation Zplus_le_compat := Z.add_le_mono (compat "8.3").
-Notation Zplus_lt_compat := Z.add_lt_mono (compat "8.3").
+Notation Zplus_lt_le_compat := Z.add_lt_le_mono (only parsing).
+Notation Zplus_le_lt_compat := Z.add_le_lt_mono (only parsing).
+Notation Zplus_le_compat := Z.add_le_mono (only parsing).
+Notation Zplus_lt_compat := Z.add_lt_mono (only parsing).
Lemma Zplus_gt_compat_l n m p : n > m -> p + n > p + m.
Proof.
@@ -412,7 +412,7 @@ Qed.
(** Compatibility of addition wrt to being positive *)
-Notation Zplus_le_0_compat := Z.add_nonneg_nonneg (compat "8.3").
+Notation Zplus_le_0_compat := Z.add_nonneg_nonneg (only parsing).
(** Simplification of addition wrt to order *)
@@ -570,9 +570,9 @@ Qed.
(** Compatibility of multiplication by a positive wrt to being positive *)
-Notation Zmult_le_0_compat := Z.mul_nonneg_nonneg (compat "8.3").
-Notation Zmult_lt_0_compat := Z.mul_pos_pos (compat "8.3").
-Notation Zmult_lt_O_compat := Z.mul_pos_pos (compat "8.3").
+Notation Zmult_le_0_compat := Z.mul_nonneg_nonneg (only parsing).
+Notation Zmult_lt_0_compat := Z.mul_pos_pos (only parsing).
+Notation Zmult_lt_O_compat := Z.mul_pos_pos (only parsing).
Lemma Zmult_gt_0_compat n m : n > 0 -> m > 0 -> n * m > 0.
Proof.
@@ -624,9 +624,9 @@ Qed.
(** * Equivalence between inequalities *)
-Notation Zle_plus_swap := Z.le_add_le_sub_r (compat "8.3").
-Notation Zlt_plus_swap := Z.lt_add_lt_sub_r (compat "8.3").
-Notation Zlt_minus_simpl_swap := Z.lt_sub_pos (compat "8.3").
+Notation Zle_plus_swap := Z.le_add_le_sub_r (only parsing).
+Notation Zlt_plus_swap := Z.lt_add_lt_sub_r (only parsing).
+Notation Zlt_minus_simpl_swap := Z.lt_sub_pos (only parsing).
Lemma Zeq_plus_swap n m p : n + p = m <-> n = m - p.
Proof.
diff --git a/theories/ZArith/Zpow_def.v b/theories/ZArith/Zpow_def.v
index a768868bd..a3a3b9727 100644
--- a/theories/ZArith/Zpow_def.v
+++ b/theories/ZArith/Zpow_def.v
@@ -14,12 +14,12 @@ Local Open Scope Z_scope.
(** Nota : this file is mostly deprecated. The definition of [Z.pow]
and its usual properties are now provided by module [BinInt.Z]. *)
-Notation Zpower_pos := Z.pow_pos (compat "8.3").
-Notation Zpower := Z.pow (compat "8.3").
-Notation Zpower_0_r := Z.pow_0_r (compat "8.3").
-Notation Zpower_succ_r := Z.pow_succ_r (compat "8.3").
-Notation Zpower_neg_r := Z.pow_neg_r (compat "8.3").
-Notation Zpower_Ppow := Pos2Z.inj_pow (compat "8.3").
+Notation Zpower_pos := Z.pow_pos (only parsing).
+Notation Zpower := Z.pow (only parsing).
+Notation Zpower_0_r := Z.pow_0_r (only parsing).
+Notation Zpower_succ_r := Z.pow_succ_r (only parsing).
+Notation Zpower_neg_r := Z.pow_neg_r (only parsing).
+Notation Zpower_Ppow := Pos2Z.inj_pow (only parsing).
Lemma Zpower_theory : power_theory 1 Z.mul (@eq Z) Z.of_N Z.pow.
Proof.
diff --git a/theories/ZArith/Zpow_facts.v b/theories/ZArith/Zpow_facts.v
index 3ea3ae4ab..e0d62b99c 100644
--- a/theories/ZArith/Zpow_facts.v
+++ b/theories/ZArith/Zpow_facts.v
@@ -29,17 +29,17 @@ Proof. now apply (Z.pow_0_l (Zpos p)). Qed.
Lemma Zpower_pos_pos x p : 0 < x -> 0 < Z.pow_pos x p.
Proof. intros. now apply (Z.pow_pos_nonneg x (Zpos p)). Qed.
-Notation Zpower_1_r := Z.pow_1_r (compat "8.3").
-Notation Zpower_1_l := Z.pow_1_l (compat "8.3").
-Notation Zpower_0_l := Z.pow_0_l' (compat "8.3").
-Notation Zpower_0_r := Z.pow_0_r (compat "8.3").
-Notation Zpower_2 := Z.pow_2_r (compat "8.3").
-Notation Zpower_gt_0 := Z.pow_pos_nonneg (compat "8.3").
-Notation Zpower_ge_0 := Z.pow_nonneg (compat "8.3").
-Notation Zpower_Zabs := Z.abs_pow (compat "8.3").
-Notation Zpower_Zsucc := Z.pow_succ_r (compat "8.3").
-Notation Zpower_mult := Z.pow_mul_r (compat "8.3").
-Notation Zpower_le_monotone2 := Z.pow_le_mono_r (compat "8.3").
+Notation Zpower_1_r := Z.pow_1_r (only parsing).
+Notation Zpower_1_l := Z.pow_1_l (only parsing).
+Notation Zpower_0_l := Z.pow_0_l' (only parsing).
+Notation Zpower_0_r := Z.pow_0_r (only parsing).
+Notation Zpower_2 := Z.pow_2_r (only parsing).
+Notation Zpower_gt_0 := Z.pow_pos_nonneg (only parsing).
+Notation Zpower_ge_0 := Z.pow_nonneg (only parsing).
+Notation Zpower_Zabs := Z.abs_pow (only parsing).
+Notation Zpower_Zsucc := Z.pow_succ_r (only parsing).
+Notation Zpower_mult := Z.pow_mul_r (only parsing).
+Notation Zpower_le_monotone2 := Z.pow_le_mono_r (only parsing).
Theorem Zpower_le_monotone a b c :
0 < a -> 0 <= b <= c -> a^b <= a^c.
@@ -231,7 +231,7 @@ Qed.
(** * Z.square: a direct definition of [z^2] *)
-Notation Psquare := Pos.square (compat "8.3").
-Notation Zsquare := Z.square (compat "8.3").
-Notation Psquare_correct := Pos.square_spec (compat "8.3").
-Notation Zsquare_correct := Z.square_spec (compat "8.3").
+Notation Psquare := Pos.square (compat "8.6").
+Notation Zsquare := Z.square (compat "8.6").
+Notation Psquare_correct := Pos.square_spec (only parsing).
+Notation Zsquare_correct := Z.square_spec (only parsing).
diff --git a/theories/ZArith/Zquot.v b/theories/ZArith/Zquot.v
index efb56c469..808a32ea2 100644
--- a/theories/ZArith/Zquot.v
+++ b/theories/ZArith/Zquot.v
@@ -31,21 +31,21 @@ Local Open Scope Z_scope.
exploiting the arbitrary value of division by 0).
*)
-Notation Ndiv_Zquot := N2Z.inj_quot (compat "8.3").
-Notation Nmod_Zrem := N2Z.inj_rem (compat "8.3").
-Notation Z_quot_rem_eq := Z.quot_rem' (compat "8.3").
-Notation Zrem_lt := Z.rem_bound_abs (compat "8.3").
-Notation Zquot_unique := Z.quot_unique (compat "8.3").
-Notation Zrem_unique := Z.rem_unique (compat "8.3").
-Notation Zrem_1_r := Z.rem_1_r (compat "8.3").
-Notation Zquot_1_r := Z.quot_1_r (compat "8.3").
-Notation Zrem_1_l := Z.rem_1_l (compat "8.3").
-Notation Zquot_1_l := Z.quot_1_l (compat "8.3").
-Notation Z_quot_same := Z.quot_same (compat "8.3").
-Notation Z_quot_mult := Z.quot_mul (compat "8.3").
-Notation Zquot_small := Z.quot_small (compat "8.3").
-Notation Zrem_small := Z.rem_small (compat "8.3").
-Notation Zquot2_quot := Zquot2_quot (compat "8.3").
+Notation Ndiv_Zquot := N2Z.inj_quot (only parsing).
+Notation Nmod_Zrem := N2Z.inj_rem (only parsing).
+Notation Z_quot_rem_eq := Z.quot_rem' (only parsing).
+Notation Zrem_lt := Z.rem_bound_abs (only parsing).
+Notation Zquot_unique := Z.quot_unique (compat "8.6").
+Notation Zrem_unique := Z.rem_unique (compat "8.6").
+Notation Zrem_1_r := Z.rem_1_r (compat "8.6").
+Notation Zquot_1_r := Z.quot_1_r (compat "8.6").
+Notation Zrem_1_l := Z.rem_1_l (compat "8.6").
+Notation Zquot_1_l := Z.quot_1_l (compat "8.6").
+Notation Z_quot_same := Z.quot_same (compat "8.6").
+Notation Z_quot_mult := Z.quot_mul (only parsing).
+Notation Zquot_small := Z.quot_small (compat "8.6").
+Notation Zrem_small := Z.rem_small (compat "8.6").
+Notation Zquot2_quot := Zquot2_quot (compat "8.6").
(** Particular values taken for [aĆ·0] and [(Z.rem a 0)].
We avise to not rely on these arbitrary values. *)