Theorems · Theorem · category theory
CategoryTheory.Idempotents.Karoubi.zsmul_hom
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.Preadditive C]
{P Q : CategoryTheory.Idempotents.Karoubi C} (n : ℤ) (f : P ⟶ Q), (n • f).f = n • f.f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Idempotents.Karoubistatement and proof · cited by 233
- CategoryTheory.Idempotents.Karoubi.Xstatement · cited by 163
- CategoryTheory.Idempotents.Karoubi.Hom.fstatement · cited by 121
- map_zsmulproof · cited by 18
- CategoryTheory.Idempotents.Karoubi.inclusionHomproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AlgebraicTopology.karoubi_alternatingFaceMapComplex_dproof · cited by 1