Theorems · Inductive type · category theory
CategoryTheory.Bicategory.Adjunction
{B : Type u₁} → [inst : CategoryTheory.Bicategory B] → {a b : B} → (a ⟶ b) → (b ⟶ a) → Type w₁Adjunction between two 1-morphisms.
- Cited by
- 83 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Bicategory
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.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Bicategorystatement · cited by 1,587
Cited by131
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Adjunction.unitstatement and proof · cited by 48
- CategoryTheory.Bicategory.Adj.Hom.adjstatement · cited by 46
- CategoryTheory.Bicategory.Adjunction.counitstatement and proof · cited by 44
- CategoryTheory.Bicategory.conjugateEquivstatement and proof · cited by 41
- CategoryTheory.Adjunction.ofCatstatement and proof · cited by 25
- CategoryTheory.Bicategory.mateEquivstatement and proof · cited by 24
- CategoryTheory.Bicategory.Adjunction.compstatement and proof · cited by 16
- CategoryTheory.Adjunction.toCatstatement · cited by 14
- CategoryTheory.Bicategory.mateEquiv_apply'statement and proof · cited by 9
- CategoryTheory.Bicategory.Adjunction.idstatement · cited by 8
- CategoryTheory.Bicategory.Adjunction.homEquiv₁statement and proof · cited by 7
- CategoryTheory.Bicategory.Adjunction.homEquiv₂statement and proof · cited by 5