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Commit 14801d95 authored by François Clément's avatar François Clément
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Unify order.

parent 9dcbe0ec
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......@@ -34,7 +34,7 @@ Proof.
destruct HPB as [HPB1 HPB2]; rewrite <- HT; apply Open_ext.
(* *)
intros A HA; rewrite (HPB2 _ HA).
pose (PB_A := fun B => incl B A /\ PB B); fold PB_A.
pose (PB_A := fun B => PB B /\ incl B A); fold PB_A.
destruct (empty_dec PB_A) as [H | H].
(* . *)
rewrite empty_equiv in H; rewrite H, unionp_any_nullary.
......@@ -56,7 +56,7 @@ Qed.
Lemma Basisp_Union_any_inter : Union_any_inter PB.
Proof.
destruct HPB as [HPB1 HPB2]; intros B1 B2 HB1 HB2.
exists (fun B => incl B (inter B1 B2) /\ PB B); split; try easy.
exists (fun B => PB B /\ incl B (inter B1 B2)); split; try easy.
apply HPB2; rewrite <- HT; apply Open_Inter; apply Open_Gen; auto.
Qed.
......
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