Theorems · Definition · category theory
CategoryTheory.MonadHom.toNatTrans
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{T₁ T₂ : CategoryTheory.Monad C} → CategoryTheory.MonadHom T₁ T₂ → CategoryTheory.NatTrans T₁.toFunctor T₂.toFunctor- Defined in
- Mathlib.CategoryTheory.Monad.Basic
- Cited by
- 21 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.
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
- CategoryTheory.Monadstatement and proof · cited by 153
- CategoryTheory.Monad.toFunctorstatement · cited by 127
- CategoryTheory.NatTransstatement · cited by 82
- CategoryTheory.MonadHomstatement and proof · cited by 10
Cited by24
Results whose statement or proof uses this declaration.
- CategoryTheory.Monad.algebraFunctorOfMonadHomproof · cited by 15
- CategoryTheory.Monad.monadToMonproof · cited by 7
- CategoryTheory.monadToFunctorproof · cited by 5
- CategoryTheory.MonadHom.extstatement and proof · cited by 2
- CategoryTheory.MonadHom.app_ηstatement · cited by 1
- CategoryTheory.MonadHom.app_μstatement · cited by 1
- CategoryTheory.MonadHom.ext'statement and proof · cited by 1
- CategoryTheory.Monad.monadMonEquiv_unitIso_hom_app_toNatTrans_appstatement and proof · cited by 0
- CategoryTheory.Monad.monadMonEquiv_unitIso_inv_app_toNatTrans_appstatement and proof · cited by 0
- CategoryTheory.Monad.monadToMon_map_homstatement · cited by 0
- CategoryTheory.Adjunction.adjToMonadIso_hom_toNatTrans_appstatement and proof · cited by 0
- CategoryTheory.Adjunction.adjToMonadIso_inv_toNatTrans_appstatement and proof · cited by 0