∀ {α : Type u} {β : Type v} {M : Type w} [inst : DecidableEq β] [inst_1 : Fintype α] [inst_2 : Fintype β] (f : α → β)
  {b : M} [inst_3 : CommSemiring M] [inst_4 : LinearOrder M] [IsStrictOrderedRing M] [Nonempty β],
  Fintype.card β • b ≤ ↑(Fintype.card α) → ∃ y, b ≤ ↑{x | f x = y}.card