diff options
Diffstat (limited to 'src/Util/ListUtil/FoldBool.v')
| -rw-r--r-- | src/Util/ListUtil/FoldBool.v | 12 |
1 files changed, 12 insertions, 0 deletions
diff --git a/src/Util/ListUtil/FoldBool.v b/src/Util/ListUtil/FoldBool.v index b69081cab..f6cac6118 100644 --- a/src/Util/ListUtil/FoldBool.v +++ b/src/Util/ListUtil/FoldBool.v @@ -55,3 +55,15 @@ Proof. intuition (congruence || (subst; auto)). apply (H1 (_, _)); auto. Qed. + +Lemma fold_andb_map_snoc A B f x xs y ys + : @fold_andb_map A B f (xs ++ [x]) (ys ++ [y]) = @fold_andb_map A B f xs ys && f x y. +Proof. + clear. + revert ys; induction xs as [|x' xs'], ys as [|y' ys']; cbn; + rewrite ?Bool.andb_true_r, ?Bool.andb_false_r; + try (destruct ys'; cbn; rewrite Bool.andb_false_r); + try (destruct xs'; cbn; rewrite Bool.andb_false_r); + try reflexivity. + rewrite IHxs', Bool.andb_assoc; reflexivity. +Qed. |