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Diffstat (limited to 'theories/Logic/FunctionalExtensionality.v')
| -rw-r--r-- | theories/Logic/FunctionalExtensionality.v | 13 |
1 files changed, 7 insertions, 6 deletions
diff --git a/theories/Logic/FunctionalExtensionality.v b/theories/Logic/FunctionalExtensionality.v index ac95ddd0c..95e1af2ea 100644 --- a/theories/Logic/FunctionalExtensionality.v +++ b/theories/Logic/FunctionalExtensionality.v @@ -1,9 +1,11 @@ (************************************************************************) -(* v * The Coq Proof Assistant / The Coq Development Team *) -(* <O___,, * INRIA - CNRS - LIX - LRI - PPS - Copyright 1999-2017 *) +(* * The Coq Proof Assistant / The Coq Development Team *) +(* v * INRIA, CNRS and contributors - Copyright 1999-2018 *) +(* <O___,, * (see CREDITS file for the list of authors) *) (* \VV/ **************************************************************) -(* // * This file is distributed under the terms of the *) -(* * GNU Lesser General Public License Version 2.1 *) +(* // * This file is distributed under the terms of the *) +(* * GNU Lesser General Public License Version 2.1 *) +(* * (see LICENSE file for the text of the license) *) (************************************************************************) (** This module states the axiom of (dependent) functional extensionality and (dependent) eta-expansion. @@ -221,13 +223,12 @@ Tactic Notation "extensionality" "in" hyp(H) := (* If we [subst H], things break if we already have another equation of the form [_ = H] *) destruct Heq; rename H_out into H. -(** Eta expansion follows from extensionality. *) +(** Eta expansion is built into Coq. *) Lemma eta_expansion_dep {A} {B : A -> Type} (f : forall x : A, B x) : f = fun x => f x. Proof. intros. - extensionality x. reflexivity. Qed. |