∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocSemiring R] [inst_1 : NonUnitalNonAssocSemiring S] {F : Type u_1}
  [inst_2 : FunLike F R S] [inst_3 : NonUnitalRingHomClass F R S] {ι : Sort u_2} (f : F)
  (s : ι → NonUnitalSubsemiring R), NonUnitalSubsemiring.map f (iSup s) = ⨆ i, NonUnitalSubsemiring.map f (s i)