Theorems · Theorem · category theory
CochainComplex.cm5b.fac
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Abelian C]
[inst_2 : CategoryTheory.EnoughInjectives C] {K L : CochainComplex C ℤ} (f : K ⟶ L),
CategoryTheory.CategoryStruct.comp (CochainComplex.cm5b.i f) (CochainComplex.cm5b.p K L) = f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.CategoryStruct.idstatement and proof · cited by 6,235
- HomologicalComplex.Xstatement and proof · cited by 1,839
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- HomologicalComplex.dproof · cited by 598
- CategoryTheory.Limits.biprodstatement · cited by 312
- CochainComplex.mappingConestatement · cited by 181
- CategoryTheory.EnoughInjectivesstatement and proof · cited by 35
Cited by2
Results whose statement or proof uses this declaration.
- CochainComplex.cm5bproof · cited by 1
- CochainComplex.cm5b.fac_assocproof · cited by 0