Theorems · Theorem · category theory
CategoryTheory.CommMon.comp_hom
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {R S T : CategoryTheory.CommMon C} (f : R ⟶ S) (g : S ⟶ T),
(CategoryTheory.CategoryStruct.comp f g).hom.hom = CategoryTheory.CategoryStruct.comp f.hom.hom g.hom.hom- Defined in
- Mathlib.CategoryTheory.Monoidal.CommMon_
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
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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 · cited by 17,999
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.InducedCategory.Hom.homstatement · cited by 850
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.Mon.Hom.homstatement · cited by 200
- CategoryTheory.CommMonstatement and proof · cited by 85
- CategoryTheory.CommMon.toMonstatement · cited by 36
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