(* Copyright 2012 Google Inc. * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * *   http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. * * Authors: Russell O'Connor *)
Require Vector.
Set Asymmetric Patterns.
Set Implicit Arguments.
Unset Strict Implicit.

Lemma Vector_map_compose n a b c (g : b -> c) (f : a -> b) (h : a -> c) (v : Vector.t a n) :
(forall x, g (f x) = h x) -> Vector.map g (Vector.map f v) = Vector.map h v.