∀ (G₀ : Type u_3) [inst : GroupWithZero G₀] [inst_1 : TopologicalSpace G₀] [inst_2 : ContinuousInv₀ G₀],
  Homeomorph.inv₀ G₀ =
    { toFun := fun g => ⟨(↑g)⁻¹, ⋯⟩, invFun := fun g => ⟨(↑g)⁻¹, ⋯⟩, left_inv := ⋯, right_inv := ⋯,
      continuous_toFun := ⋯, continuous_invFun := ⋯ }