From 8398615fea7ab754854cb10e16e86de6415f1f2d Mon Sep 17 00:00:00 2001 From: Yann Herklotz Date: Mon, 29 Jun 2020 16:55:08 +0100 Subject: Work on addition proof --- src/verilog/Value.v | 22 +++++++++++++++++++++- 1 file changed, 21 insertions(+), 1 deletion(-) (limited to 'src') diff --git a/src/verilog/Value.v b/src/verilog/Value.v index e7b2362..c380ca7 100644 --- a/src/verilog/Value.v +++ b/src/verilog/Value.v @@ -108,6 +108,12 @@ Definition boolToValue (sz : nat) (b : bool) : value := Definition unify_word (sz1 sz2 : nat) (w1 : word sz2): sz1 = sz2 -> word sz1. intros; subst; assumption. Defined. +Lemma unify_word_unfold : + forall sz w, + unify_word sz sz w eq_refl = w. +Proof. + intros. unfold unify_word. Admitted. + Definition value_eq_size: forall v1 v2 : value, { vsize v1 = vsize v2 } + { True }. Proof. @@ -382,7 +388,21 @@ Qed. Lemma boolToValue_ValueToBool : forall b, valueToBool (boolToValue 32 b) = b. -Proof. destruct b; unfold valueToBool, boolToValue; simpl; trivial. Qed. +Proof. destruct b; auto. Qed. + +Lemma intToValue_eq_size : + forall n1 n2, + vsize (intToValue n1) = vsize (intToValue n2). +Proof. auto. Qed. + +Local Open Scope Z. + +Lemma zadd_vplus : + forall z1 z2, + valueToZ (vplus (ZToValue 32 z1) (ZToValue 32 z2) eq_refl) = z1 + z2. +Proof. + intros. unfold valueToZ, ZToValue. simpl. + Admitted. (*Lemma ZToValue_valueToNat : forall x sz, -- cgit