Mathlib Map

Theorems · Inductive type · category theory

CategoryTheory.Adjunction.Triple

{C : Type u_1} →
  {D : Type u_2} →
    [inst : CategoryTheory.Category.{v_1, u_1} C] →
      [inst_1 : CategoryTheory.Category.{v_2, u_2} D] →
        CategoryTheory.Functor C D →
          CategoryTheory.Functor D C → CategoryTheory.Functor C D → Type (max (max (max u_1 u_2) v_1) v_2)

Structure containing the two adjunctions of an adjoint triple F ⊣ G ⊣ H.

Defined in
Mathlib.CategoryTheory.Adjunction.Triple
Cited by
37 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Category

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by52

Results whose statement or proof uses this declaration.