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| author |  Stephane Glondu <steph@glondu.net> | 2010-07-21 09:46:51 +0200 |
|---|---|---|
| committer | Stephane Glondu <steph@glondu.net> | 2010-07-21 09:46:51 +0200 |
| commit | 5b7eafd0f00a16d78f99a27f5c7d5a0de77dc7e6 (patch) | |
| tree | 631ad791a7685edafeb1fb2e8faeedc8379318ae /theories/Logic/Berardi.v | |
| parent | da178a880e3ace820b41d38b191d3785b82991f5 (diff) | |
Imported Upstream snapshot 8.3~beta0+13298
Diffstat (limited to 'theories/Logic/Berardi.v')
| -rw-r--r-- | theories/Logic/Berardi.v | 8 |
1 files changed, 4 insertions, 4 deletions
diff --git a/theories/Logic/Berardi.v b/theories/Logic/Berardi.v index 9eaef07a..5b2f5063 100644 --- a/theories/Logic/Berardi.v +++ b/theories/Logic/Berardi.v @@ -6,7 +6,7 @@ (* * GNU Lesser General Public License Version 2.1 *) (************************************************************************) -(*i $Id: Berardi.v 8122 2006-03-04 19:26:40Z herbelin $ i*) +(*i $Id$ i*) (** This file formalizes Berardi's paradox which says that in the calculus of constructions, excluded middle (EM) and axiom of @@ -67,10 +67,10 @@ Section Retracts. Variables A B : Prop. -Record retract : Prop := +Record retract : Prop := {i : A -> B; j : B -> A; inv : forall a:A, j (i a) = a}. -Record retract_cond : Prop := +Record retract_cond : Prop := {i2 : A -> B; j2 : B -> A; inv2 : retract -> forall a:A, j2 (i2 a) = a}. @@ -94,7 +94,7 @@ Proof. intros A B. destruct (EM (retract (pow A) (pow B))) as [(f0,g0,e) | hf]. exists f0 g0; trivial. - exists (fun (x:pow A) (y:B) => F) (fun (x:pow B) (y:A) => F); intros; + exists (fun (x:pow A) (y:B) => F) (fun (x:pow B) (y:A) => F); intros; destruct hf; auto. Qed. |