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fixes #1803 #1805

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Merged
affeldt-aist merged 1 commit into from
Dec 23, 2025
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fixes #1803 #1805

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10 changes: 5 additions & 5 deletions theories/topology_theory/topology_structure.v
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Original file line number Diff line number Diff line change
Expand Up @@ -449,15 +449,15 @@ HB.end.

(** Topology defined by open sets *)

Definition nbhs_of_open (T : Type) (op : set T -> Prop) (p : T) (A : set T) :=
Definition nbhs_of_open (T : Type) (op : set_system T) (p : T) (A : set T) :=
exists B, [/\ op B, B p & B `<=` A].

HB.factory Record isOpenTopological T of Choice T := {
op : set T -> Prop;
opT : op setT;
opI : forall (A B : set T), op A -> op B -> op (A `&` B);
op : set_system T ;
opT : op setT ;
opI : forall (A B : set T), op A -> op B -> op (A `&` B) ;
op_bigU : forall (I : Type) (f : I -> set T), (forall i, op (f i)) ->
op (\bigcup_i f i);
op (\bigcup_i f i)
}.

HB.builders Context T of isOpenTopological T.
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