Theorems · Definition · category theory
CategoryTheory.Bicategory.Comonad.comul
{B : Type u} →
[inst : CategoryTheory.Bicategory B] →
{a : B} → {t : a ⟶ a} → [CategoryTheory.Bicategory.Comonad t] → t ⟶ CategoryTheory.CategoryStruct.comp t tThe comultiplication 2-morphism of the comonad.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 12 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.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.ComonObj.comulproof · cited by 71
- CategoryTheory.Bicategory.Comonadstatement and proof · cited by 11
Cited by10
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Comonad.comul_assocstatement · cited by 1
- CategoryTheory.Bicategory.Comonad.comul_assoc_flipstatement · cited by 1
- CategoryTheory.Bicategory.Comonad.comul_counitstatement · cited by 1
- CategoryTheory.Bicategory.Comonad.counit_comulstatement · cited by 1
- CategoryTheory.Bicategory.Comonad.comul_assoc_assocstatement and proof · cited by 0
- CategoryTheory.Bicategory.Comonad.comul_assoc_flip_assocstatement and proof · cited by 0
- CategoryTheory.Bicategory.Comonad.comul_counit_assocstatement and proof · cited by 0
- CategoryTheory.Bicategory.Comonad.counit_comul_assocstatement and proof · cited by 0
- CategoryTheory.Bicategory.OplaxTrans.ComonadBicat.mkOfComonad_comulstatement and proof · cited by 0
- CategoryTheory.Bicategory.Comonad.toOplaxproof · cited by 0