Theorems · Inductive type · category theory
CategoryTheory.Comonad.Coalgebra.Hom
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] → {G : CategoryTheory.Comonad C} → G.Coalgebra → G.Coalgebra → Type v₁A morphism of Eilenberg-Moore coalgebras for the comonad G.
- Defined in
- Mathlib.CategoryTheory.Monad.Algebra
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
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 · cited by 32,673
- CategoryTheory.Comonadstatement · cited by 125
- CategoryTheory.Comonad.Coalgebrastatement · cited by 114
Cited by20
Results whose statement or proof uses this declaration.
- CategoryTheory.Comonad.Coalgebra.Hom.fstatement and proof · cited by 46
- CategoryTheory.Comonad.Coalgebra.Hom.extstatement and proof · cited by 3
- CategoryTheory.Comonad.Coalgebra.Hom.compstatement and proof · cited by 1
- CategoryTheory.Comonad.adj_unitstatement · cited by 1
- CategoryTheory.Comonad.Coalgebra.Hom.mk.congr_simpstatement · cited by 1
- CategoryTheory.Comonad.Coalgebra.Hom.mk.injstatement · cited by 1
- CategoryTheory.Comonad.Coalgebra.Hom.mk.noConfusionstatement · cited by 1
- CategoryTheory.Comonad.Coalgebra.Hom.hstatement and proof · cited by 1
- CategoryTheory.Comonad.Coalgebra.Hom.h_assocstatement and proof · cited by 1
- CategoryTheory.Comonad.Coalgebra.Hom.idstatement · cited by 1
- CategoryTheory.Comonad.Coalgebra.Hom.casesOnstatement and proof · cited by 0
- CategoryTheory.Comonad.Coalgebra.Hom.ctorIdxstatement and proof · cited by 0