Theorems · Theorem · category theory
CategoryTheory.AddMonObj.nsmul_comp
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v, u_1} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
{M N X : C} [inst_2 : CategoryTheory.AddMonObj M] [inst_3 : CategoryTheory.AddMonObj N] (f : X ⟶ M) (n : ℕ)
(g : M ⟶ N) [CategoryTheory.IsAddMonHom g],
CategoryTheory.CategoryStruct.comp (n • f) g = n • CategoryTheory.CategoryStruct.comp f g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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 and proof · cited by 17,999
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.AddMonObjstatement and proof · cited by 158
- zero_nsmulproof · cited by 137
- succ_nsmulproof · cited by 65
- CategoryTheory.IsAddMonHomstatement and proof · cited by 49
- CategoryTheory.Hom.addMonoidstatement · cited by 44
- CategoryTheory.AddMonObj.add_compproof · cited by 3
- CategoryTheory.AddMonObj.zero_compproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.AddMonObj.nsmul_comp_assocproof · cited by 0