Theorems · Definition · category theory
HomologicalComplex.extend.X
{ι : Type u_1} →
{c : ComplexShape ι} →
{C : Type u_3} →
[inst : CategoryTheory.Category.{v_1, u_3} C] →
[CategoryTheory.Limits.HasZeroObject C] →
[inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] → HomologicalComplex C c → Option ι → CAuxiliary definition for the X field of HomologicalComplex.extend.
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- HomologicalComplex.Xproof · cited by 1,839
- HomologicalComplexstatement and proof · cited by 1,691
- ComplexShapestatement and proof · cited by 1,684
- CategoryTheory.Limits.HasZeroObjectstatement and proof · cited by 1,298
Cited by19
Results whose statement or proof uses this declaration.
- HomologicalComplex.extendproof · cited by 115
- HomologicalComplex.extendMap_fproof · cited by 11
- HomologicalComplex.extend.XIsostatement · cited by 6
- HomologicalComplex.extend.dstatement and proof · cited by 5
- HomologicalComplex.extend.XOpIsostatement and proof · cited by 2
- HomologicalComplex.extend.d_eqstatement · cited by 2
- HomologicalComplex.extend.d_none_eq_zerostatement · cited by 2
- HomologicalComplex.extend.d_none_eq_zero'statement · cited by 2
- HomologicalComplex.extend.mapXstatement and proof · cited by 2
- HomologicalComplex.extend.XOpIso_hom_d_opstatement and proof · cited by 1
- Homotopy.extend.homAuxstatement and proof · cited by 1
- Homotopy.extend.homAux_eqstatement · cited by 1