no goals
α : Type u
β : Type v
γ : Type u_1
δ : Type ?u.65761
ε : Type ?u.65764
ζ : Type ?u.65767
inst✝⁵ : TopologicalSpace α
inst✝⁴ : TopologicalSpace β
inst✝³ : TopologicalSpace γ
inst✝² : TopologicalSpace δ
inst✝¹ : TopologicalSpace ε
inst✝ : TopologicalSpace ζ
a : α
f : β → γ
⊢ (Inducing fun x => (a, f x)) ↔ Inducing f
simp_rw [inducing_iff, instTopologicalSpaceProd, induced_inf, induced_compose, Function.comp,
  induced_const, top_inf_eq]