∀ (G : Type u_1) [inst : Group G] (α : Type u_2) [inst_1 : MulAction G α] {n : ℕ} [inst_2 : DecidableEq α]
  [inst_3 : Fintype α] {m : ℕ} (hm : m + n = Fintype.card α),
  (Set.powersetCard.mulActionHom_compl G α ⋯).comp (Set.powersetCard.mulActionHom_compl G α hm) = MulActionHom.id G