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Define subcover does not need topology
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The definition works as well, if `X` is not a topological space.
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Columbus240 committed Aug 22, 2023
1 parent 6ce87b8 commit 55b4655
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2 changes: 1 addition & 1 deletion theories/Topology/CountabilityAxioms.v
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Expand Up @@ -131,7 +131,7 @@ Definition open_cover {X : TopologicalSpace} (F : Family X) : Prop :=
(forall U, In F U -> open U) /\ (FamilyUnion F = Full_set).

(* [FS] is a subcover of [F] *)
Definition subcover {X : TopologicalSpace} (FS F : Family X) : Prop :=
Definition subcover {X : Type} (FS F : Family X) : Prop :=
Included FS F /\ Included (FamilyUnion F) (FamilyUnion FS).

(** we consistently write "Lindelof" instead of "Lindelöf" to
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