Theorems · Definition · category theory
CategoryTheory.Comon.Hom.hom
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → {M N : CategoryTheory.Comon C} → M.Hom N → (M.X ⟶ N.X)The underlying morphism of a morphism of comonoid objects.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 55 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
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.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Comonstatement and proof · cited by 125
- CategoryTheory.Comon.Xstatement · cited by 105
- CategoryTheory.Comon.Homstatement and proof · cited by 8
Cited by61
Results whose statement or proof uses this declaration.
- CategoryTheory.Comon.forgetproof · cited by 14
- CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.functorproof · cited by 7
- CategoryTheory.Comon.ComonToMonOpOpproof · cited by 5
- CategoryTheory.Comon.Hom.extstatement and proof · cited by 4
- CategoryTheory.Functor.mapComonproof · cited by 4
- CoalgCat.ofComonproof · cited by 3
- CategoryTheory.Comon.compproof · cited by 1
- CategoryTheory.Comon.extstatement and proof · cited by 1
- CategoryTheory.Bimon.extstatement and proof · cited by 1
- CategoryTheory.CommComon.hom_extstatement and proof · cited by 1
- CategoryTheory.Comon.ComonToMonOpOp_mapstatement · cited by 0
- CategoryTheory.Comon.MonOpOpToComon_map_homstatement and proof · cited by 0