Theorems · Theorem · category theory
AddMonCat.ofHom_apply
∀ {X Y : Type u} [inst : AddMonoid X] [inst_1 : AddMonoid Y] (f : X →+ Y) (x : X),
(CategoryTheory.ConcreteCategory.hom (AddMonCat.ofHom f)) x = f x- Defined in
- Mathlib.Algebra.Category.MonCat.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.
- DFunLike.coestatement · cited by 62,936
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- AddMonoidHomstatement and proof · cited by 3,230
- AddMonoidstatement and proof · cited by 2,864
- AddMonCatstatement · cited by 71
- AddMonCat.carrierstatement · cited by 60
- AddMonCat.ofHomstatement · cited by 17
- AddMonCat.ofstatement · cited by 16
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