Theorems · Definition · category theory
CommMonCat.Hom.hom
{X Y : CommMonCat} → X.Hom Y → ↑X →* ↑YTurn a morphism in CommMonCat back into a MonoidHom.
- Defined in
- Mathlib.Algebra.Category.MonCat.Basic
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- MonoidHomstatement · cited by 3,629
- CommMonCatstatement and proof · cited by 51
- CommMonCat.carrierstatement · cited by 44
- CommMonCat.Homstatement and proof · cited by 2
Cited by30
Results whose statement or proof uses this declaration.
- AddCommMonCat.equivalenceproof · cited by 6
- CommMonCat.coyonedaproof · cited by 5
- CommMonCat.coyonedaTypeproof · cited by 3
- CommMonCat.unitsproof · cited by 3
- CommMonCat.coyonedaForgetproof · cited by 2
- CommMonCat.uliftFunctorproof · cited by 2
- CommRingCat.monoidAlgebraproof · cited by 2
- CommMonCat.hom_extstatement and proof · cited by 1
- CommMonCat.ofHom_homstatement · cited by 0
- CommMonCat.coyonedaForget_hom_app_app_hom_apply_homstatement and proof · cited by 0
- CommMonCat.coyonedaForget_inv_app_app_hom_applystatement · cited by 0
- CommMonCat.comp_applyproof · cited by 0