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authorGravatar Jason Gross <jgross@mit.edu>2017-06-20 19:30:56 -0400
committerGravatar Jason Gross <jgross@mit.edu>2017-06-20 19:30:56 -0400
commit578f4a4531cffbb66d19c43178dd3b095eac0390 (patch)
tree16198c52bf9b7497119a6d64192fb72bfa621406 /src/Util/ListUtil
parent2bcd06d59f3b844626cd8e00a2803351de83dfb1 (diff)
Add fold_left_orb_true, fold_left_orb_pull
Diffstat (limited to 'src/Util/ListUtil')
-rw-r--r--src/Util/ListUtil/FoldBool.v8
1 files changed, 8 insertions, 0 deletions
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.