fact: Definition Build_ProperFilter {T : Type} (F : set_system T) (filter_ex : forall P, F P -> exists x, P x) (filter_filter : Filter F) := Build_ProperFilter' (filter_not_empty_ex filter_ex) (filter_filter).
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed