∀ (G : Type u_1) [inst : Group G] (α : Type u_2) [inst_1 : MulAction G α] [inst_2 : DecidableEq α],
  Set.powersetCard.mulActionHom_singleton G α = { toFun := ⇑Set.powersetCard.ofSingleton, map_smul' := ⋯ }