Theorems · Definition · category theory
CategoryTheory.Bicategory.Comonad
{B : Type u} → [inst : CategoryTheory.Bicategory B] → {a : B} → (a ⟶ a) → Type wA comonad in a bicategory B is a 1-morphism t : a ⟶ a together with 2-morphisms
Δ : t ⟶ t ≫ t and ε : t ⟶ 𝟙 a satisfying the comonad laws.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Bicategory
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.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Bicategorystatement and proof · cited by 1,587
- CategoryTheory.ComonObjproof · cited by 48
Cited by16
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Comonad.comulstatement and proof · cited by 9
- CategoryTheory.Bicategory.Comonad.counitstatement and proof · cited by 5
- CategoryTheory.Bicategory.OplaxTrans.ComonadBicat.mkOfComonadstatement and proof · cited by 3
- CategoryTheory.Bicategory.Comonad.comul_assocstatement and proof · cited by 1
- CategoryTheory.Bicategory.Comonad.comul_assoc_flipstatement and proof · cited by 1
- CategoryTheory.Bicategory.Comonad.comul_counitstatement and proof · cited by 1
- CategoryTheory.Bicategory.Comonad.counit_comulstatement and proof · cited by 1
- CategoryTheory.Bicategory.Comonad.ofOplaxFromUnitstatement · cited by 0
- CategoryTheory.Bicategory.Comonad.toOplaxstatement and proof · cited by 0
- 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