Theorems · Theorem · category theory

CochainComplex.HomComplex.Cochain.ofHomotopy_ofEq

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
  {F G : CochainComplex C ℤ} {φ₁ φ₂ : F ⟶ G} (h : φ₁ = φ₂),
  CochainComplex.HomComplex.Cochain.ofHomotopy (Homotopy.ofEq h) = 0

Defined in: Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
Cited by: 0 results in Mathlib
Foundations: Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive

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CategoryTheory.Categorystatement and proof · cited by 32,673
Quiver.Homstatement and proof · cited by 32,603
CategoryTheory.Preadditivestatement and proof · cited by 3,309
ComplexShape.upstatement · cited by 1,123
CochainComplexstatement and proof · cited by 1,016
CochainComplex.HomComplex.Cochainstatement · cited by 341
Homotopy.ofEqstatement · cited by 25
CochainComplex.HomComplex.Cochain.ofHomotopystatement · cited by 6

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