fact: Definition finN0_bigcap_closed := forall I (D : set I) A_, finite_set D -> D !=set0 -> (forall i, D i -> G (A_ i)) -> G (\bigcap_(i in D) (A_ i)).
imports: mathcomp(all_ssreflect all_algebra finmap) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality fsbigop ) reals ereal signed topology normedtype sequences esum numfun HB(structures)