fact: Definition separate_points_from_closed {I : Type} {T : topologicalType} {U_ : I -> topologicalType} (f_ : forall i, T -> U_ i) := forall (U : set T) x, closed U -> ~ U x -> exists i, ~ (closure (f_ i @` U)) (f_ i x).
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed