∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
  [inst_2 : NormedSpace 𝕜 E] {H : Type u_3} [inst_3 : TopologicalSpace H] {I : ModelWithCorners 𝕜 E H} {M : Type u_4}
  [inst_4 : TopologicalSpace M] [inst_5 : ChartedSpace H M] {F : Type u_5} [inst_6 : NormedAddCommGroup F]
  [inst_7 : NormedSpace 𝕜 F] {V : M → Type u_6} [inst_8 : TopologicalSpace (Bundle.TotalSpace F V)]
  [inst_9 : (x : M) → AddCommGroup (V x)] [inst_10 : (x : M) → Module 𝕜 (V x)]
  [inst_11 : (x : M) → TopologicalSpace (V x)] [inst_12 : ∀ (x : M), IsTopologicalAddGroup (V x)]
  [inst_13 : ∀ (x : M), ContinuousSMul 𝕜 (V x)] [inst_14 : FiberBundle F V] [inst_15 : IsManifold I 1 M]
  [inst_16 : VectorBundle 𝕜 F V] {cov cov' : ((x : M) → V x) → (x : M) → TangentSpace I x →L[𝕜] V x} {u : Set M}
  {f : M → 𝕜} {n : WithTop ℕ∞},
  ContMDiffOn I (modelWithCornersSelf 𝕜 𝕜) n f u →
    ContMDiffCovariantDerivativeOn F n cov u →
      ContMDiffCovariantDerivativeOn F n cov' u →
        ContMDiffCovariantDerivativeOn F n (fun σ => f • cov σ + (1 - f) • cov' σ) u