no goals
α : Type u
β : Type v
γ : Type w
inst✝² : UniformSpace α
inst✝¹ : UniformSpace β
inst✝ : UniformSpace γ
f : α → β
hf : UniformInducing f
⊢ CompleteSpace α ↔ IsComplete (range f)
rw [completeSpace_iff_isComplete_univ, ← isComplete_image_iff hf, image_univ]