Theorems · Definition · category theory
CategoryTheory.KleisliCat
(Type u → Type v) → Type (u + 1)
The Kleisli category on the (type-)monad m. Note that the monad is not assumed to be lawful
yet.
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by19
Results whose statement or proof uses this declaration.
- CategoryTheory.kleisliCatEquivKleislistatement and proof · cited by 6
- CategoryTheory.KleisliCat.mkstatement · cited by 4
- Monoid.foldlM.ofFreeMonoidstatement · cited by 3
- Monoid.foldrM.ofFreeMonoidstatement · cited by 3
- Traversable.foldlm.ofFreeMonoid_comp_ofstatement · cited by 1
- Traversable.foldrm.ofFreeMonoid_comp_ofstatement · cited by 1
- CategoryTheory.KleisliCat.extstatement and proof · cited by 1
- Monoid.foldlM.ofFreeMonoid_applystatement · cited by 0
- Monoid.foldrM.ofFreeMonoid_applystatement · cited by 0
- CategoryTheory.eqstatement · cited by 0
- CategoryTheory.KleisliCat.comp_defstatement and proof · cited by 0
- CategoryTheory.KleisliCat.ext_iffstatement and proof · cited by 0