fact: Definition fmapi {T U : Type} (f : T -> set U) (F : set_system T) : set_system _ := [set P | \forall x \near F, exists y, f x y /\ P y].
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed