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-rw-r--r--theories/Logic/FunctionalExtensionality.v6
1 files changed, 6 insertions, 0 deletions
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},