{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] →
                                                {k : WithTop ℕ∞} →
                                                  {cov : ((x : M) → V x) → (x : M) → TangentSpace I x →L[𝕜] V x} →
                                                    {u : Set M} →
                                                      {motive : ContMDiffCovariantDerivativeOn F k cov u → Sort u} →
                                                        ((contMDiff :
                                                              ∀ {σ : (x : M) → V x},
                                                                ContMDiffOn I (I.prod (modelWithCornersSelf 𝕜 F))
                                                                    (k + 1) (fun x => ⟨x, σ x⟩) u →
                                                                  ContMDiffOn I
                                                                    (I.prod (modelWithCornersSelf 𝕜 (E →L[𝕜] F))) k
                                                                    (fun x => ⟨x, cov σ x⟩) u) →
                                                            motive ⋯) →
                                                          (t : ContMDiffCovariantDerivativeOn F k cov u) → motive t