Theorems · Theorem · category theory
CategoryTheory.RingObjCat.comp_hom
∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.CartesianMonoidalCategory C]
[inst_2 : CategoryTheory.BraidedCategory C] {X Y Z : CategoryTheory.RingObjCat C} (f : X.Hom Y) (g : Y.Hom Z),
(CategoryTheory.CategoryStruct.comp f g).hom = CategoryTheory.CategoryStruct.comp f.hom g.hom- Defined in
- Mathlib.CategoryTheory.Monoidal.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
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Cites9
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 · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement and proof · cited by 17,999
- CategoryTheory.CartesianMonoidalCategorystatement and proof · cited by 947
- CategoryTheory.BraidedCategorystatement and proof · cited by 779
- CategoryTheory.RingObjCatstatement and proof · cited by 23
- CategoryTheory.RingObjCat.Xstatement · cited by 19
- CategoryTheory.RingObjCat.Hom.homstatement and proof · cited by 10
- CategoryTheory.RingObjCat.Homstatement and proof · cited by 7
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