proposition: Lemma finI_from_cover : \bigcup_(A in finI_from) A = setT.
proof: Proof. rewrite predeqE => t; split=> // _; exists setT => //. by exists fset0 => //; rewrite predeqE. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed