fact: Definition locally_of (P : set_system T -> Prop) of phantom Prop (P (globally A)) := forall x, A x -> P (within A (nbhs x)).
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed