Theorems · Theorem · category theory

CategoryTheory.Monad.comparison_map_f

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {L : CategoryTheory.Functor C D} {R : CategoryTheory.Functor D C} (h : L ⊣ R) {X Y : D} (f : X ⟶ Y),
  ((CategoryTheory.Monad.comparison h).map f).f = R.map f

Defined in

Mathlib.CategoryTheory.Monad.Adjunction

Cited by

1 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category