Theorems · Definition · category theory

CategoryTheory.adjunctionOfCostructuredArrowTerminals

{C : Type u₁} →
  {D : Type u₂} →
    [inst : CategoryTheory.Category.{v₁, u₁} C] →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        (G : CategoryTheory.Functor D C) →
          [inst_2 : ∀ (A : C), CategoryTheory.Limits.HasTerminal (CategoryTheory.CostructuredArrow G A)] →
            G ⊣ CategoryTheory.rightAdjointOfCostructuredArrowTerminals G

If each costructured arrow category on G has a terminal object, we have a constructed right adjoint to G.

Defined in

Mathlib.CategoryTheory.Adjunction.Comma

Cited by

0 results in Mathlib

Foundations

Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasTerminal