{X : Type u} →
  {Y : Type v} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] →
        {P : C(X, Y) → Prop} → {f₀ f₁ f₂ : C(X, Y)} → f₀.HomotopyWith f₁ P → f₁.HomotopyWith f₂ P → f₀.HomotopyWith f₂ P