Theorems · Inductive type · category theory
CategoryTheory.ComonObj
{C : Type u₁} → [inst : CategoryTheory.Category.{v₁, u₁} C] → [CategoryTheory.MonoidalCategory C] → C → Type v₁A comonoid object internal to a monoidal category. When the monoidal category is preadditive, this is also sometimes called a "coalgebra object".
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 48 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.MonoidalCategorystatement · cited by 3,095
Cited by90
Results whose statement or proof uses this declaration.
- CategoryTheory.ComonObj.comulstatement and proof · cited by 71
- CategoryTheory.ComonObj.counitstatement and proof · cited by 67
- CategoryTheory.Bicategory.Comonadproof · cited by 11
- CategoryTheory.IsComonHomstatement · cited by 11
- CategoryTheory.IsCommComonObjstatement · cited by 5
- CategoryTheory.Monoidal.ComonFunctorCategoryEquivalence.functorObjObjstatement and proof · cited by 5
- CategoryTheory.Conv.mul_eqstatement and proof · cited by 4
- CategoryTheory.Conv.one_eqstatement and proof · cited by 4
- CategoryTheory.ComonObj.counit_comulstatement and proof · cited by 4
- CategoryTheory.IsComonHom.hom_comulstatement and proof · cited by 4
- CoalgCat.ofComonObjCoalgebraStruct_comulstatement and proof · cited by 4
- CategoryTheory.IsComonHom.hom_counitstatement and proof · cited by 4