Theorems · Theorem · category theory
CochainComplex.HomComplex.Cocycle.equivHomShift_symm_precomp
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{K L : CochainComplex C ℤ} {n : ℤ} (z : CochainComplex.HomComplex.Cocycle K L n) {K' : CochainComplex C ℤ}
(g : K' ⟶ K),
CochainComplex.HomComplex.Cocycle.equivHomShift.symm (z.precomp g) =
CategoryTheory.CategoryStruct.comp g (CochainComplex.HomComplex.Cocycle.equivHomShift.symm z)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.shiftFunctorstatement · cited by 1,553
- ComplexShape.upstatement · cited by 1,123
- AddEquivstatement · cited by 1,087
- CochainComplexstatement and proof · cited by 1,016
- AddEquiv.symmstatement and proof · cited by 530
- CochainComplex.HomComplex.Cocyclestatement and proof · cited by 130
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.ProjectiveResolution.mk₀_comp_extMkproof · cited by 0
- CategoryTheory.InjectiveResolution.mk₀_comp_extMkproof · cited by 0