Theorems · Theorem · category theory
CategoryTheory.Preadditive.comp_zsmul
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Preadditive C] {P Q R : C} (f : P ⟶ Q)
(g : Q ⟶ R) (n : ℤ), CategoryTheory.CategoryStruct.comp f (n • g) = n • CategoryTheory.CategoryStruct.comp f g- Defined in
- Mathlib.CategoryTheory.Preadditive.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- map_zsmulproof · cited by 18
- CategoryTheory.Preadditive.leftCompproof · cited by 6
Cited by5
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.HigherFacesVanish.comp_Hσ_eqproof · cited by 4
- AlgebraicTopology.DoldKan.HigherFacesVanish.comp_Hσ_eq_zeroproof · cited by 3
- AlgebraicTopology.AlternatingFaceMapComplex.d_squaredproof · cited by 1
- AlgebraicTopology.karoubi_alternatingFaceMapComplex_dproof · cited by 1
- AlgebraicTopology.DoldKan.Γ₀_obj_termwise_mapMono_comp_PInftyproof · cited by 1