Theorems · Definition · category theory

HomologicalComplex.Hom.mk.noConfusion

{ι : Type u_1} →
  {V : Type u} →
    {inst : CategoryTheory.Category.{v, u} V} →
      {inst_1 : CategoryTheory.Limits.HasZeroMorphisms V} →
        {c : ComplexShape ι} →
          {A B : HomologicalComplex V c} →
            {P : Sort u_2} →
              {f : (i : ι) → A.X i ⟶ B.X i} →
                {comm' :
                    autoParam
                      (∀ (i j : ι),
                        c.Rel i j →
                          CategoryTheory.CategoryStruct.comp (f i) (B.d i j) =
                            CategoryTheory.CategoryStruct.comp (A.d i j) (f j))
                      HomologicalComplex.Hom.comm'._autoParam} →
                  {f' : (i : ι) → A.X i ⟶ B.X i} →
                    {comm'' :
                        autoParam
                          (∀ (i j : ι),
                            c.Rel i j →
                              CategoryTheory.CategoryStruct.comp (f' i) (B.d i j) =
                                CategoryTheory.CategoryStruct.comp (A.d i j) (f' j))
                          HomologicalComplex.Hom.comm'._autoParam} →
                      { f := f, comm' := comm' } = { f := f', comm' := comm'' } → (f ≍ f' → P) → P

Defined in

Mathlib.Algebra.Homology.HomologicalComplex

Cited by

1 results in Mathlib

Foundations

Depth 14 from the axioms · uses no axioms