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Interval is K-finite

This commit is contained in:
Dan Frumin 2017-08-17 22:43:22 +02:00
parent 8ff54def39
commit da60017367
1 changed files with 12 additions and 1 deletions
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13
FiniteSets/variations/k_finite.v
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@ -143,5 +143,16 @@ Section k_properties.
- apply (tr loop). - apply (tr loop).
- apply path_ishprop. - apply path_ishprop.
Defined. Defined.
Lemma I_Kfinite : Kf interval.
Proof.
apply Kf_unfold.
exists {|Interval.one|}.
intro a. simpl.
simple refine (interval_ind (fun z => Trunc (-1) (z = Interval.one)) _ _ _ a); simpl.
- apply (tr seg).
- apply (tr idpath).
- apply path_ishprop.
Defined.
End k_properties. End k_properties.