From 58b94f8491a27cc922b60b3d3021896d6329c34a Mon Sep 17 00:00:00 2001 From: ppedrot Date: Fri, 2 Aug 2013 13:57:17 +0000 Subject: Adding a dependent version of equal_f, thus fixing #3074. git-svn-id: svn+ssh://scm.gforge.inria.fr/svn/coq/trunk@16653 85f007b7-540e-0410-9357-904b9bb8a0f7 --- theories/Logic/FunctionalExtensionality.v | 6 ++++++ 1 file changed, 6 insertions(+) diff --git a/theories/Logic/FunctionalExtensionality.v b/theories/Logic/FunctionalExtensionality.v index ecb7428e9c..a5894fc1e5 100644 --- a/theories/Logic/FunctionalExtensionality.v +++ b/theories/Logic/FunctionalExtensionality.v @@ -19,6 +19,12 @@ Proof. auto. Qed. +Lemma equal_f_dep : forall {A B} {f g : forall (x : A), B x}, + f = g -> forall x, f x = g x. +Proof. +intros A B f g <- H; reflexivity. +Qed. + (** Statements of functional extensionality for simple and dependent functions. *) Axiom functional_extensionality_dep : forall {A} {B : A -> Type}, -- cgit v1.2.3