no goals
α : Type u
β : Type u_1
γ : Type ?u.8291
δ : Type ?u.8294
inst✝³ : UniformSpace α
inst✝² : UniformSpace β
inst✝¹ : UniformSpace γ
inst✝ : UniformSpace δ
e : α ≃ β
h₁ : UniformContinuous e.toFun
h₂ : UniformContinuous e.invFun
e' : α ≃ β
h₁' : UniformContinuous e'.toFun
h₂' : UniformContinuous e'.invFun
h :
  { toEquiv := e, uniformContinuous_toFun := h₁, uniformContinuous_invFun := h₂ }.toEquiv =
    { toEquiv := e', uniformContinuous_toFun := h₁', uniformContinuous_invFun := h₂' }.toEquiv
⊢ { toEquiv := e, uniformContinuous_toFun := h₁, uniformContinuous_invFun := h₂ } =
    { toEquiv := e', uniformContinuous_toFun := h₁', uniformContinuous_invFun := h₂' }
simpa only [mk.injEq]