∀ {X : Type u_1} {Y : Sort u_2} {A : Type u_3} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace A] {f : X → Y}
  {g₁ g₂ : A → X}, Continuous g₁ → Continuous g₂ → IsSeparatedMap f → f ∘ g₁ = f ∘ g₂ → IsClosed {a | g₁ a = g₂ a}