Theorems · Theorem · category theory
CategoryTheory.ShortComplex.RightHomologyData.op_i
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
{S : CategoryTheory.ShortComplex C} (h : S.RightHomologyData), h.op.i = h.p.op- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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 · cited by 32,603
- Oppositestatement · cited by 8,081
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- Quiver.Hom.opstatement · cited by 1,948
- CategoryTheory.ShortComplexstatement and proof · cited by 1,850
- CategoryTheory.ShortComplex.X₂statement · cited by 1,115
- CategoryTheory.ShortComplex.RightHomologyDatastatement and proof · cited by 211
- CategoryTheory.ShortComplex.RightHomologyData.Qstatement · cited by 163
- CategoryTheory.ShortComplex.LeftHomologyData.istatement and proof · cited by 144
- CategoryTheory.ShortComplex.opstatement · cited by 88
- CategoryTheory.ShortComplex.RightHomologyData.pstatement · cited by 84
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.fromOpcycles_op_cyclesOpIso_invproof · cited by 2