∀ {α : Type u_2} {β : Type u_3} {γ : Type u_4} [inst : CompleteLattice α] [inst_1 : CompleteLattice β]
  [inst_2 : CompleteLattice γ] {g₁ g₂ : CompleteLatticeHom β γ} {f : CompleteLatticeHom α β},
  Function.Surjective ⇑f → (g₁.comp f = g₂.comp f) = (g₁ = g₂)