Theorems · Definition · category theory
CategoryTheory.Comon.X
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.MonoidalCategory C] → CategoryTheory.Comon C → CThe underlying object of a comonoid object.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 105 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 4 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Comonstatement and proof · cited by 125
Cited by126
Results whose statement or proof uses this declaration.
- CategoryTheory.Comon.Hom.homstatement · cited by 55
- CategoryTheory.Comon.forgetproof · cited by 14
- CategoryTheory.Comon.ComonToMonOpOpObjproof · cited by 11
- CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.functorproof · cited by 7
- CategoryTheory.Functor.mapComonproof · cited by 4
- CategoryTheory.Comon.Hom.extstatement and proof · cited by 4
- CategoryTheory.Comon.ComonToMonOpOpObj_mon_onestatement · cited by 3
- CategoryTheory.Comon.monoidal_tensorObj_comon_comulstatement · cited by 3
- CoalgCat.ofComonproof · cited by 3
- CategoryTheory.isoCartesianComonstatement and proof · cited by 3
- CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.counitIsoproof · cited by 3
- CategoryTheory.Bimon.equivMonComonCounitIsoAppXAuxstatement and proof · cited by 2