∀ {X : Type u_1} {R : Type u_2} [inst : Zero X] [inst_1 : TopologicalSpace X] [inst_2 : Zero R]
  [inst_3 : UniformSpace R] {Y : Type u_3} [inst_4 : TopologicalSpace Y] [inst_5 : Zero Y] (f : X ≃ₜ Y) (hf : f 0 = 0),
  UniformContinuous fun g => g.comp { toContinuousMap := ↑f.symm, map_zero' := ⋯ }