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Theorems · Definition · category theory

CategoryTheory.MonadicRightAdjoint.L

{C : Type u₁} →
  {inst : CategoryTheory.Category.{v₁, u₁} C} →
    {D : Type u₂} →
      {inst_1 : CategoryTheory.Category.{v₂, u₂} D} →
        (R : CategoryTheory.Functor D C) → [self : CategoryTheory.MonadicRightAdjoint R] → CategoryTheory.Functor C D

a choice of left adjoint for R

Defined in
Mathlib.CategoryTheory.Monad.Adjunction
Cited by
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Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.MonadicRightAdjoint
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Around this declaration

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CategoryTheory.monadicLeftAdjoint · cited by 2CategoryTheory.monadicLef…CategoryTheory.MonadicRightAdjoint.adj · cited by 0MonadicRightAdjoint.adjCategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MonadicRightAdjoint · cited by 2CategoryTheory.MonadicRig…MonadicRightAdjoint.LCITED BYCITES

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