∀ {𝕜 : Type u_8} {B : Type u_9} {F₁ : Type u_10} {F₂ : Type u_11} {F₃ : Type u_12} {M : Type u_13}
  [inst : NontriviallyNormedField 𝕜] {E₁ : B → Type u_14} [inst_1 : (x : B) → AddCommGroup (E₁ x)]
  [inst_2 : (x : B) → Module 𝕜 (E₁ x)] [inst_3 : NormedAddCommGroup F₁] [inst_4 : NormedSpace 𝕜 F₁]
  [inst_5 : TopologicalSpace (Bundle.TotalSpace F₁ E₁)] [inst_6 : (x : B) → TopologicalSpace (E₁ x)]
  {E₂ : B → Type u_15} [inst_7 : (x : B) → AddCommGroup (E₂ x)] [inst_8 : (x : B) → Module 𝕜 (E₂ x)]
  [inst_9 : NormedAddCommGroup F₂] [inst_10 : NormedSpace 𝕜 F₂] [inst_11 : TopologicalSpace (Bundle.TotalSpace F₂ E₂)]
  [inst_12 : (x : B) → TopologicalSpace (E₂ x)] {E₃ : B → Type u_16} [inst_13 : (x : B) → AddCommGroup (E₃ x)]
  [inst_14 : (x : B) → Module 𝕜 (E₃ x)] [inst_15 : NormedAddCommGroup F₃] [inst_16 : NormedSpace 𝕜 F₃]
  [inst_17 : TopologicalSpace (Bundle.TotalSpace F₃ E₃)] [inst_18 : (x : B) → TopologicalSpace (E₃ x)]
  [inst_19 : TopologicalSpace B] [inst_20 : TopologicalSpace M] [inst_21 : FiberBundle F₁ E₁]
  [inst_22 : VectorBundle 𝕜 F₁ E₁] [inst_23 : FiberBundle F₂ E₂] [inst_24 : VectorBundle 𝕜 F₂ E₂]
  [inst_25 : FiberBundle F₃ E₃] [inst_26 : VectorBundle 𝕜 F₃ E₃] {b : M → B} {v : (x : M) → E₁ (b x)}
  [inst_27 : ∀ (x : B), IsTopologicalAddGroup (E₃ x)] [inst_28 : ∀ (x : B), ContinuousSMul 𝕜 (E₃ x)]
  {ψ : (x : M) → E₁ (b x) →L[𝕜] E₂ (b x) →L[𝕜] E₃ (b x)} {w : (x : M) → E₂ (b x)},
  (Continuous fun m => Bundle.TotalSpace.mk' (F₁ →L[𝕜] F₂ →L[𝕜] F₃) (b m) (ψ m)) →
    (Continuous fun m => Bundle.TotalSpace.mk' F₁ (b m) (v m)) →
      (Continuous fun m => Bundle.TotalSpace.mk' F₂ (b m) (w m)) →
        Continuous fun m => Bundle.TotalSpace.mk' F₃ (b m) (((ψ m) (v m)) (w m))