Theorems · Inductive type · category theory
CategoryTheory.Adjunction.Quadruple
{C : Type u₁} →
{D : Type u₂} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
[inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
CategoryTheory.Functor C D →
CategoryTheory.Functor D C →
CategoryTheory.Functor C D → CategoryTheory.Functor D C → Type (max (max (max u₁ u₂) v₁) v₂)Structure containing the three adjunctions of an adjoint quadruple L ⊣ F ⊣ G ⊣ R.
- Cited by
- 16 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 by28
Results whose statement or proof uses this declaration.
- CategoryTheory.Adjunction.Quadruple.leftTriplestatement and proof · cited by 8
- CategoryTheory.Adjunction.Quadruple.rightTriplestatement and proof · cited by 8
- CategoryTheory.Adjunction.Quadruple.opstatement and proof · cited by 6
- CategoryTheory.Adjunction.Quadruple.adj₁statement and proof · cited by 4
- CategoryTheory.Adjunction.Quadruple.adj₂statement and proof · cited by 4
- CategoryTheory.Adjunction.Quadruple.adj₃statement and proof · cited by 4
- CategoryTheory.Adjunction.Quadruple.epi_leftTriple_rightToLeft_app_iff_mono_rightTriple_leftToRight_appstatement and proof · cited by 2
- CategoryTheory.Adjunction.Quadruple.epi_leftTriple_leftToRight_app_iff_mono_rightTriple_rightToLeft_appstatement and proof · cited by 1
- CategoryTheory.Adjunction.Quadruple.mk.injstatement · cited by 1
- CategoryTheory.Adjunction.Quadruple.mk.noConfusionstatement · cited by 1
- CategoryTheory.Adjunction.Quadruple.casesOnstatement and proof · cited by 0
- CategoryTheory.Adjunction.Quadruple.ctorIdxstatement and proof · cited by 0