Theorems · Definition · category theory
CategoryTheory.ShortComplex.unop
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
CategoryTheory.ShortComplex Cᵒᵖ → CategoryTheory.ShortComplex CThe ShortComplex in C associated to a short complex in Cᵒᵖ.
- Cited by
- 44 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.ShortComplex.gproof · cited by 658
- CategoryTheory.ShortComplex.fproof · cited by 653
Cited by56
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.unopMapstatement · cited by 16
- CategoryTheory.ShortComplex.RightHomologyData.unopstatement · cited by 10
- CategoryTheory.ShortComplex.LeftHomologyData.unopstatement · cited by 10
- CategoryTheory.ShortComplex.HomologyData.unopstatement · cited by 6
- CategoryTheory.ShortComplex.Homotopy.unopstatement · cited by 4
- CategoryTheory.ShortComplex.Exact.unopstatement · cited by 4
- CategoryTheory.ShortComplex.unopFunctorproof · cited by 4
- CategoryTheory.ShortComplex.RightHomologyMapData.unopstatement · cited by 3
- CategoryTheory.ShortComplex.LeftHomologyMapData.unopstatement · cited by 3
- CategoryTheory.ShortComplex.HomologyMapData.unopstatement · cited by 2
- CategoryTheory.ShortComplex.exact_unop_iffstatement and proof · cited by 2
- CategoryTheory.ShortComplex.Splitting.unopstatement · cited by 2