From 38f279e628912cc22de232acf639a527e9c04432 Mon Sep 17 00:00:00 2001 From: David Monniaux Date: Wed, 25 Nov 2020 11:28:46 +0100 Subject: missing lemmas --- common/Values.v | 21 +++++++++++++++++++++ 1 file changed, 21 insertions(+) (limited to 'common') diff --git a/common/Values.v b/common/Values.v index 6401ba52..41138e8e 100644 --- a/common/Values.v +++ b/common/Values.v @@ -2706,3 +2706,24 @@ Proof. unfold compose_meminj; rewrite H1; rewrite H3; eauto. rewrite Ptrofs.add_assoc. decEq. unfold Ptrofs.add. apply Ptrofs.eqm_samerepr. auto with ints. Qed. + + +(** Particular cases of extensionality lemma *) + +Lemma cmpu_bool_valid_pointer_eq vptr1 vptr2 c v1 v2: + (forall (b : block) (z : Z), vptr1 b z = vptr2 b z) -> + Val.cmpu_bool vptr1 c v1 v2 = Val.cmpu_bool vptr2 c v1 v2. +Proof. + intros EQ; unfold Val.cmpu_bool; destruct v1; try congruence; + destruct v2; try congruence; + rewrite !EQ; auto. +Qed. + +Lemma cmplu_bool_valid_pointer_eq vptr1 vptr2 c v1 v2: + (forall (b : block) (z : Z), vptr1 b z = vptr2 b z) -> + Val.cmplu_bool vptr1 c v1 v2 = Val.cmplu_bool vptr2 c v1 v2. +Proof. + intros EQ; unfold Val.cmplu_bool; destruct v1; try congruence; + destruct v2; try congruence; + rewrite !EQ; auto. +Qed. -- cgit