Home
About Coq
Get Coq
Documentation
Community
The Coq Proof Assistant
Library Stdlib.Logic.PropExtensionality
This module states propositional extensionality and draws consequences of it
Axiom
propositional_extensionality
:
forall
(
P
Q
:
Prop
),
(
P
<->
Q
)
->
P
=
Q
.
Require
Import
ClassicalFacts
.
Theorem
proof_irrelevance
:
forall
(
P
:
Prop
) (
p1
p2
:
P
),
p1
=
p2
.
Navigation
Standard Library
Table of contents
Index