Theorems · Definition · category theory

CategoryTheory.Subobject.lowerAdjunction

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {A : C} →
          {B : D} →
            {L : CategoryTheory.Functor (CategoryTheory.MonoOver A) (CategoryTheory.MonoOver B)} →
              {R : CategoryTheory.Functor (CategoryTheory.MonoOver B) (CategoryTheory.MonoOver A)} →
                (L ⊣ R) → (CategoryTheory.Subobject.lower L ⊣ CategoryTheory.Subobject.lower R)

An adjunction between MonoOver A and MonoOver B gives an adjunction between Subobject A and Subobject B.

Defined in

Mathlib.CategoryTheory.Subobject.Basic

Cited by

0 results in Mathlib

Foundations

Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category