From fc2613e871dffffa788d90044a81598f671d0a3b Mon Sep 17 00:00:00 2001 From: letouzey Date: Thu, 5 Jul 2012 16:56:16 +0000 Subject: ZArith + other : favor the use of modern names instead of compat notations - For instance, refl_equal --> eq_refl - Npos, Zpos, Zneg now admit more uniform qualified aliases N.pos, Z.pos, Z.neg. - A new module BinInt.Pos2Z with results about injections from positive to Z - A result about Z.pow pushed in the generic layer - Zmult_le_compat_{r,l} --> Z.mul_le_mono_nonneg_{r,l} - Using tactic Z.le_elim instead of Zle_lt_or_eq - Some cleanup in ring, field, micromega (use of "Equivalence", "Proper" ...) - Some adaptions in QArith (for instance changed Qpower.Qpower_decomp) - In ZMake and ZMake, functor parameters are now named NN and ZZ instead of N and Z for avoiding confusions git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@15515 85f007b7-540e-0410-9357-904b9bb8a0f7 --- plugins/rtauto/Bintree.v | 14 +++++++------- plugins/rtauto/refl_tauto.ml | 2 +- 2 files changed, 8 insertions(+), 8 deletions(-) (limited to 'plugins/rtauto') diff --git a/plugins/rtauto/Bintree.v b/plugins/rtauto/Bintree.v index 77f8f8345..8f024a15f 100644 --- a/plugins/rtauto/Bintree.v +++ b/plugins/rtauto/Bintree.v @@ -15,14 +15,14 @@ Open Scope positive_scope. Ltac clean := try (simpl; congruence). Lemma Gt_Psucc: forall p q, - (p ?= Psucc q) = Gt -> (p ?= q) = Gt. + (p ?= Pos.succ q) = Gt -> (p ?= q) = Gt. Proof. intros. rewrite <- Pos.compare_succ_succ. now apply Pos.lt_gt, Pos.lt_lt_succ, Pos.gt_lt. Qed. Lemma Psucc_Gt : forall p, - (Psucc p ?= p) = Gt. + (Pos.succ p ?= p) = Gt. Proof. intros. apply Pos.lt_gt, Pos.lt_succ_diag_r. Qed. @@ -181,7 +181,7 @@ mkStore {index:positive;contents:Tree}. Definition empty := mkStore xH Tempty. Definition push a S := -mkStore (Psucc (index S)) (Tadd (index S) a (contents S)). +mkStore (Pos.succ (index S)) (Tadd (index S) a (contents S)). Definition get i S := Tget i (contents S). @@ -214,7 +214,7 @@ intros a S. rewrite Tget_Tadd. rewrite Psucc_Gt. intro W. -change (get (Psucc (index S)) S =PNone). +change (get (Pos.succ (index S)) S =PNone). apply get_Full_Gt; auto. apply Psucc_Gt. Qed. @@ -248,7 +248,7 @@ forall x, get i S = PSome x -> Proof. intros i a S F x H. case_eq (i ?= index S);intro test. -rewrite (Pcompare_Eq_eq _ _ test) in H. +rewrite (Pos.compare_eq _ _ test) in H. rewrite (get_Full_Eq _ F) in H;congruence. rewrite <- H. rewrite (get_push_Full i a). @@ -260,13 +260,13 @@ Qed. Lemma Full_index_one_empty : forall S, Full S -> index S = 1 -> S=empty. intros [ind cont] F one; inversion F. reflexivity. -simpl index in one;assert (h:=Psucc_not_one (index S)). +simpl index in one;assert (h:=Pos.succ_not_1 (index S)). congruence. Qed. Lemma push_not_empty: forall a S, (push a S) <> empty. intros a [ind cont];unfold push,empty. -simpl;intro H;injection H; intros _ ; apply Psucc_not_one. +simpl;intro H;injection H; intros _ ; apply Pos.succ_not_1. Qed. Fixpoint In (x:A) (S:Store) (F:Full S) {struct F}: Prop := diff --git a/plugins/rtauto/refl_tauto.ml b/plugins/rtauto/refl_tauto.ml index 8db267641..2fc80e1ff 100644 --- a/plugins/rtauto/refl_tauto.ml +++ b/plugins/rtauto/refl_tauto.ml @@ -33,7 +33,7 @@ let data_constant = Coqlib.gen_constant "refl_tauto" ["Init";"Datatypes"] let l_true_equals_true = - lazy (mkApp(logic_constant "refl_equal", + lazy (mkApp(logic_constant "eq_refl", [|data_constant "bool";data_constant "true"|])) let pos_constant = -- cgit v1.2.3