Theorems · Theorem · category theory
CategoryTheory.MonadHom.comp_toNatTrans
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {T₁ T₂ T₃ : CategoryTheory.Monad C} (f : T₁ ⟶ T₂)
(g : T₂ ⟶ T₃),
(CategoryTheory.CategoryStruct.comp f g).toNatTrans = CategoryTheory.CategoryStruct.comp f.toNatTrans g.toNatTrans- Defined in
- Mathlib.CategoryTheory.Monad.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites8
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
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Monadstatement and proof · cited by 153
- CategoryTheory.Monad.toFunctorstatement · cited by 127
- CategoryTheory.NatTransstatement · cited by 82
- CategoryTheory.MonadHom.toNatTransstatement · cited by 21
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