∀ (M₁ : Type u_2) (M₂ : Type u_1) (M₃ : Type u_3) [inst : TopologicalSpace M₁] [inst_1 : TopologicalSpace M₂]
  [inst_2 : TopologicalSpace M₃], Continuous fun x => ((Prod.fst ∘ Prod.fst) x, x.1.2, x.2)