From 3c4993d2ae2ada2ef1416e45ac5a011071f6b302 Mon Sep 17 00:00:00 2001 From: Ralf Jung <jung@mpi-sws.org> Date: Mon, 11 Jan 2021 17:43:01 +0100 Subject: [PATCH] prove take_0 --- theories/list.v | 2 ++ 1 file changed, 2 insertions(+) diff --git a/theories/list.v b/theories/list.v index d8faeaf0..7b91cdd8 100644 --- a/theories/list.v +++ b/theories/list.v @@ -1067,6 +1067,8 @@ Lemma take_drop_middle l i x : Proof. revert i x. induction l; intros [|?] ??; simplify_eq/=; f_equal; auto. Qed. +Lemma take_0 l : take 0 l = []. +Proof. reflexivity. Qed. Lemma take_nil n : take n [] =@{list A} []. Proof. by destruct n. Qed. Lemma take_S_r l n x : l !! n = Some x → take (S n) l = take n l ++ [x]. -- GitLab