Theorems · Definition · category theory

CategoryTheory.Functor.partialLeftAdjointObj

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

Given F : D ⥤ C, this is F.partialLeftAdjoint on objects: it sends X : C such that F.leftAdjointObjIsDefined X holds to an object of D which represents the functor F ⋙ coyoneda.obj (op X.obj).

Defined in

Mathlib.CategoryTheory.Adjunction.PartialAdjoint

Cited by

9 results in Mathlib

Foundations

Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category