Theorems · Definition · category theory

Homotopy.recOn

{ι : Type u_1} →
  {V : Type u} →
    [inst : CategoryTheory.Category.{v, u} V] →
      [inst_1 : CategoryTheory.Preadditive V] →
        {c : ComplexShape ι} →
          {C D : HomologicalComplex V c} →
            {f g : C ⟶ D} →
              {motive : Homotopy f g → Sort u_2} →
                (t : Homotopy f g) →
                  ((hom : (i j : ι) → C.X i ⟶ D.X j) →
                      (zero : ∀ (i j : ι), ¬c.Rel j i → hom i j = 0) →
                        (comm : ∀ (i : ι), f.f i = (dNext i) hom + (prevD i) hom + g.f i) →
                          motive { hom := hom, zero := zero, comm := comm }) →
                    motive t

Defined in

Mathlib.Algebra.Homology.Homotopy

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Preadditive