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The underlying type need not be an hset for the splitting lemma

This commit is contained in:
2017-08-24 16:36:59 +02:00
parent eef533e345
commit 5e4091409d
2 changed files with 161 additions and 224 deletions

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@@ -63,7 +63,7 @@ Section k_fin_lemoo_projective.
Global Instance kuratowski_projective_oo (X : Type) (Hfin : Kf X) : IsProjective X.
Proof.
assert (Finite X).
{ apply Kf_to_Bf; auto.
{ eapply Kf_to_Bf; auto.
intros pp qq. apply LEMoo. }
apply _.
Defined.
@@ -78,7 +78,7 @@ Section k_fin_lem_projective.
Global Instance kuratowski_projective (Hfin : Kf X) : IsProjective X.
Proof.
assert (Finite X).
{ apply Kf_to_Bf; auto.
{ eapply Kf_to_Bf; auto.
intros pp qq. apply LEM. apply _. }
apply _.
Defined.