∀ {C : Type u_1} {inst : CategoryTheory.Category.{v_1, u_1} C} {inst_1 : CategoryTheory.Limits.HasZeroMorphisms C}
  {S₁ S₂ : CategoryTheory.ShortComplex C} {φ : S₁ ⟶ S₂} {h₁ : S₁.LeftHomologyData} {h₂ : S₂.LeftHomologyData}
  {φK : h₁.K ⟶ h₂.K} {φH : h₁.H ⟶ h₂.H}
  {commi :
    autoParam (CategoryTheory.CategoryStruct.comp φK h₂.i = CategoryTheory.CategoryStruct.comp h₁.i φ.τ₂)
      CategoryTheory.ShortComplex.LeftHomologyMapData.commi._autoParam}
  {commf' :
    autoParam (CategoryTheory.CategoryStruct.comp h₁.f' φK = CategoryTheory.CategoryStruct.comp φ.τ₁ h₂.f')
      CategoryTheory.ShortComplex.LeftHomologyMapData.commf'._autoParam}
  {commπ :
    autoParam (CategoryTheory.CategoryStruct.comp h₁.π φH = CategoryTheory.CategoryStruct.comp φK h₂.π)
      CategoryTheory.ShortComplex.LeftHomologyMapData.commπ._autoParam}
  {φK_1 : h₁.K ⟶ h₂.K} {φH_1 : h₁.H ⟶ h₂.H}
  {commi_1 :
    autoParam (CategoryTheory.CategoryStruct.comp φK_1 h₂.i = CategoryTheory.CategoryStruct.comp h₁.i φ.τ₂)
      CategoryTheory.ShortComplex.LeftHomologyMapData.commi._autoParam}
  {commf'_1 :
    autoParam (CategoryTheory.CategoryStruct.comp h₁.f' φK_1 = CategoryTheory.CategoryStruct.comp φ.τ₁ h₂.f')
      CategoryTheory.ShortComplex.LeftHomologyMapData.commf'._autoParam}
  {commπ_1 :
    autoParam (CategoryTheory.CategoryStruct.comp h₁.π φH_1 = CategoryTheory.CategoryStruct.comp φK_1 h₂.π)
      CategoryTheory.ShortComplex.LeftHomologyMapData.commπ._autoParam},
  { φK := φK, φH := φH, commi := commi, commf' := commf', commπ := commπ } =
      { φK := φK_1, φH := φH_1, commi := commi_1, commf' := commf'_1, commπ := commπ_1 } →
    φK = φK_1 ∧ φH = φH_1