Theorems · Definition · category theory
CategoryTheory.ComonObj.counit
{C : Type u₁} →
{inst : CategoryTheory.Category.{v₁, u₁} C} →
{inst_1 : CategoryTheory.MonoidalCategory C} →
{X : C} → [self : CategoryTheory.ComonObj X] → X ⟶ CategoryTheory.MonoidalCategoryStruct.tensorUnit CThe counit morphism of a comonoid object.
- Defined in
- Mathlib.CategoryTheory.Monoidal.Comon_
- Cited by
- 67 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.ComonObj
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.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.ComonObjstatement and proof · cited by 48
Cited by96
Results whose statement or proof uses this declaration.
- CategoryTheory.HopfObj.antipode_leftstatement · cited by 6
- CategoryTheory.Bicategory.Comonad.counitproof · cited by 5
- CategoryTheory.HopfObj.antipode_rightstatement · cited by 4
- CategoryTheory.Conv.one_eqstatement · cited by 4
- CategoryTheory.ComonObj.counit_comulstatement · cited by 4
- CategoryTheory.IsComonHom.hom_counitstatement · cited by 4
- CategoryTheory.Comon.ComonToMonOpOpObj_mon_onestatement · cited by 3
- CategoryTheory.Comon.MonOpOpToComonObj_comon_counitstatement and proof · cited by 3
- CategoryTheory.ComonObj.comul_counitstatement · cited by 3
- CoalgCat.ofComonObjCoalgebraStruct_counitstatement · cited by 3
- CategoryTheory.Bimon.mul_counitstatement and proof · cited by 2
- CategoryTheory.BimonObj.mul_counitstatement · cited by 2