From 578f4a4531cffbb66d19c43178dd3b095eac0390 Mon Sep 17 00:00:00 2001 From: Jason Gross Date: Tue, 20 Jun 2017 19:30:56 -0400 Subject: Add fold_left_orb_true, fold_left_orb_pull --- src/Util/ListUtil/FoldBool.v | 8 ++++++++ 1 file changed, 8 insertions(+) create mode 100644 src/Util/ListUtil/FoldBool.v (limited to 'src/Util/ListUtil') diff --git a/src/Util/ListUtil/FoldBool.v b/src/Util/ListUtil/FoldBool.v new file mode 100644 index 000000000..fcdc6d2e6 --- /dev/null +++ b/src/Util/ListUtil/FoldBool.v @@ -0,0 +1,8 @@ +Require Import Coq.Lists.List. + +Lemma fold_left_orb_true ls + : List.fold_left orb ls true = true. +Proof. induction ls as [|?? IHls]; [ reflexivity | assumption ]. Qed. +Lemma fold_left_orb_pull ls v + : List.fold_left orb ls v = orb v (List.fold_left orb ls false). +Proof. destruct v; [ apply fold_left_orb_true | reflexivity ]. Qed. -- cgit v1.2.3