Theorems · Theorem · category theory
CochainComplex.HomComplex.Cochain.map_neg
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C]
{K L : CochainComplex C ℤ} {n : ℤ} {D : Type u_2} [inst_2 : CategoryTheory.Category.{v_1, u_2} D]
[inst_3 : CategoryTheory.Preadditive D] (z : CochainComplex.HomComplex.Cochain K L n) (Φ : CategoryTheory.Functor C D)
[inst_4 : Φ.Additive], (-z).map Φ = -z.map Φ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- HomologicalComplexstatement · cited by 1,691
- CategoryTheory.Functor.Additivestatement and proof · cited by 1,179
- ComplexShape.upstatement · cited by 1,123
- CochainComplexstatement and proof · cited by 1,016
- CochainComplex.HomComplex.Cochainstatement and proof · cited by 341
- CochainComplex.HomComplex.Cochain.vproof · cited by 213
- CategoryTheory.Functor.mapHomologicalComplexstatement · cited by 145
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.