Theorems · Theorem · category theory
AddGrpCat.ofHom_comp
∀ {X Y Z : Type u} [inst : AddGroup X] [inst_1 : AddGroup Y] [inst_2 : AddGroup Z] (f : X →+ Y) (g : Y →+ Z),
AddGrpCat.ofHom (g.comp f) = CategoryTheory.CategoryStruct.comp (AddGrpCat.ofHom f) (AddGrpCat.ofHom g)- Defined in
- Mathlib.Algebra.Category.Grp.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- AddGroupstatement and proof · cited by 4,410
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidHom.compstatement · cited by 339
- AddGrpCatstatement · cited by 80
- AddGrpCat.ofstatement · cited by 23
- AddGrpCat.ofHomstatement · cited by 17
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