fact: Definition cover_compact (A : set T) := forall (I : choiceType) (D : set I) (f : I -> set T), (forall i, D i -> open (f i)) -> A `<=` cover D f -> finite_subset_cover D f A.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed