Theorems · Definition · category theory
CategoryTheory.ShortComplex.unopMap
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
{S₁ S₂ : CategoryTheory.ShortComplex Cᵒᵖ} → (S₁ ⟶ S₂) → (S₂.unop ⟶ S₁.unop)The morphism in ShortComplex C associated to a morphism in ShortComplex Cᵒᵖ
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- 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.Hom.τ₂proof · cited by 243
- CategoryTheory.ShortComplex.Hom.τ₃proof · cited by 197
- CategoryTheory.ShortComplex.Hom.τ₁proof · cited by 194
- CategoryTheory.ShortComplex.unopstatement · cited by 44
Cited by21
Results whose statement or proof uses this declaration.
- CategoryTheory.ShortComplex.Homotopy.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.quasiIso_unopMapstatement and proof · cited by 0
- CategoryTheory.ShortComplex.Homotopy.unop_h₀statement · cited by 0
- CategoryTheory.ShortComplex.Homotopy.unop_h₁statement · cited by 0
- CategoryTheory.ShortComplex.Homotopy.unop_h₂statement · cited by 0
- CategoryTheory.ShortComplex.Homotopy.unop_h₃statement · cited by 0
- CategoryTheory.ShortComplex.RightHomologyMapData.unop_φHstatement · cited by 0
- CategoryTheory.ShortComplex.RightHomologyMapData.unop_φKstatement · cited by 0