Theorems · Definition · category theory

CochainComplex.HomComplex.Cocycle.precomp

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Preadditive C] →
      {F G K : CochainComplex C ℤ} →
        {n : ℤ} → CochainComplex.HomComplex.Cocycle G K n → (F ⟶ G) → CochainComplex.HomComplex.Cocycle F K n

The precomposition of a cocycle with a morphism of cochain complexes.

Defined in: Mathlib.Algebra.Homology.HomotopyCategory.HomComplex
Cited by: 5 results in Mathlib
Foundations: Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Preadditive

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Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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.Cocyclestatement and proof · cited by 130
CochainComplex.HomComplex.Cochain.ofHomproof · cited by 121
CochainComplex.HomComplex.Cochain.compproof · cited by 115
CochainComplex.HomComplex.Cocycle.mkproof · cited by 6

Cited by5

Results whose statement or proof uses this declaration.

CochainComplex.HomComplex.Cocycle.precomp_coestatement and proof · cited by 3
CochainComplex.HomComplex.Cocycle.equivHomShift_symm_precompstatement and proof · cited by 2
CochainComplex.HomComplex.Cocycle.equivHomShift_compstatement and proof · cited by 1
CochainComplex.HomComplex.Cocycle.fromSingleMk_precompstatement and proof · cited by 1
CochainComplex.HomComplex.Cocycle.toSingleMk_precompstatement and proof · cited by 1