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
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.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Functorstatement · cited by 16,252
Cited by52
Results whose statement or proof uses this declaration.
- CategoryTheory.Adjunction.Triple.adj₂statement and proof · cited by 33
- CategoryTheory.Adjunction.Triple.adj₁statement and proof · cited by 32
- CategoryTheory.Adjunction.Triple.rightToLeftstatement and proof · cited by 19
- CategoryTheory.Adjunction.Triple.leftToRightstatement and proof · cited by 18
- CategoryTheory.Adjunction.Quadruple.leftTriplestatement · cited by 8
- CategoryTheory.Adjunction.Quadruple.rightTriplestatement · cited by 8
- CategoryTheory.Adjunction.Triple.opstatement and proof · cited by 6
- CategoryTheory.Adjunction.Triple.leftToRight_app_objstatement and proof · cited by 4
- CategoryTheory.Adjunction.Triple.map_rightToLeft_appstatement and proof · cited by 4
- CategoryTheory.Adjunction.Triple.adj₁_counit_app_rightToLeft_appstatement and proof · cited by 2
- CategoryTheory.Adjunction.Triple.leftToRight_appstatement and proof · cited by 2
- CategoryTheory.Adjunction.Triple.leftToRight_app_map_adj₁_unit_appstatement and proof · cited by 2