Theorems · Definition · category theory
CategoryTheory.Abelian.LeftResolution.F
{A : Type u_1} →
{C : Type u_2} →
[inst : CategoryTheory.Category.{v_1, u_2} C] →
[inst_1 : CategoryTheory.Category.{v_2, u_1} A] →
{ι : CategoryTheory.Functor C A} → CategoryTheory.Abelian.LeftResolution ι → CategoryTheory.Functor A Ca functor which sends X : A to an object F.obj X with an epimorphism
π.app X : ι.obj (F.obj X) ⟶ X
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Abelian.LeftResolutionstatement and proof · cited by 27
Cited by30
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.LeftResolution.πstatement · cited by 14
- CategoryTheory.Abelian.LeftResolution.chainComplexproof · cited by 11
- CategoryTheory.Abelian.LeftResolution.chainComplexMapproof · cited by 7
- CategoryTheory.Abelian.LeftResolution.chainComplexXOneIsostatement · cited by 7
- CategoryTheory.Abelian.LeftResolution.chainComplexXZeroIsostatement · cited by 7
- CategoryTheory.Abelian.LeftResolution.chainComplexXIsostatement and proof · cited by 6
- CategoryTheory.Abelian.LeftResolution.karoubi.F'proof · cited by 5
- CategoryTheory.Abelian.LeftResolution.chainComplexMap_f_succ_succstatement and proof · cited by 3
- CategoryTheory.Abelian.LeftResolution.π_naturalitystatement · cited by 2
- CategoryTheory.Abelian.LeftResolution.chainComplexMap_compproof · cited by 1
- CategoryTheory.Abelian.LeftResolution.map_chainComplex_dstatement and proof · cited by 1
- CategoryTheory.Abelian.LeftResolution.map_chainComplex_d_1_0statement and proof · cited by 1