Theorems · Inductive type · category theory
CategoryTheory.Bicategory.Adj
(B : Type u) → [CategoryTheory.Bicategory B] → Type u
The bicategory that has the same objects as a bicategory B, in which 1-morphisms
are adjunctions (in the same direction as the left adjoints),
and 2-morphisms are tuples of mate maps between the left and right
adjoints (where the map between right adjoints is in the opposite direction).
- Cited by
- 131 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- CategoryTheory.Bicategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Bicategorystatement · cited by 1,587
Cited by178
Results whose statement or proof uses this declaration.
- CategoryTheory.Bicategory.Adj.objstatement and proof · cited by 128
- CategoryTheory.Pseudofunctor.DescentDataAsCoalgebrastatement · cited by 39
- CategoryTheory.Bicategory.Adj.Hom₂.τlstatement and proof · cited by 34
- CategoryTheory.Bicategory.Adj.Hom₂.τrstatement and proof · cited by 31
- CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.objstatement and proof · cited by 29
- CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.homstatement and proof · cited by 22
- CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.Hom.homstatement and proof · cited by 18
- CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.coalgebraEquivalencestatement and proof · cited by 13
- CategoryTheory.Bicategory.Adj.Hom₂statement · cited by 12
- AlgebraicGeometry.Scheme.Modules.pseudofunctorstatement · cited by 12
- CategoryTheory.Pseudofunctor.DescentDataAsCoalgebra.Homstatement · cited by 8
- CategoryTheory.Pseudofunctor.toDescentDataAsCoalgebrastatement and proof · cited by 6