Theorems · Definition · category theory
AddCommMonCat.ofHom
{X Y : Type u} →
[inst : AddCommMonoid X] → [inst_1 : AddCommMonoid Y] → (X →+ Y) → (AddCommMonCat.of X ⟶ AddCommMonCat.of Y)Typecheck an AddMonoidHom as a morphism in AddCommMonCat.
- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- AddCommMonCatstatement · cited by 50
- AddCommMonCat.ofstatement · cited by 20
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
Cited by28
Results whose statement or proof uses this declaration.
- AddCommMonCat.equivalenceproof · cited by 6
- AddCommMonCat.coyonedaproof · cited by 5
- AddCommMonCat.coyonedaTypeproof · cited by 3
- AddCommMonCat.freeproof · cited by 2
- AddCommMonCat.coyonedaForgetproof · cited by 2
- AddCommMonCat.uliftFunctorproof · cited by 2
- AddEquiv.toAddCommMonCatIsoproof · cited by 2
- AddCommGrpCat.forget₂_commMonCat_map_ofHomstatement · cited by 0
- AddCommMonCat.forget₂_map_ofHomstatement · cited by 0
- AddCommMonCat.free_mapstatement · cited by 0
- AddCommMonCat.fullyFaithfulForgetToAddMonCatproof · cited by 0
- SemimoduleCat.forget₂_mapstatement · cited by 0