Theorems · Definition · category theory
CategoryTheory.Quiv.adj
CategoryTheory.Cat.free ⊣ CategoryTheory.Quiv.forget
The adjunction between forming the free category on a quiver, and forgetting a category to a quiver.
- Defined in
- Mathlib.CategoryTheory.Category.Quiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functor.idproof · cited by 3,333
- CategoryTheory.Catstatement and proof · cited by 884
- CategoryTheory.Bundled.αproof · cited by 736
- CategoryTheory.Adjunctionstatement · cited by 524
- CategoryTheory.Functor.toCatHomproof · cited by 124
- CategoryTheory.Quivstatement and proof · cited by 21
- CategoryTheory.Paths.ofproof · cited by 20
- CategoryTheory.pathCompositionproof · cited by 9
- CategoryTheory.Quiv.forgetstatement · cited by 5
- CategoryTheory.Cat.freestatement · cited by 4
- CategoryTheory.Adjunction.mkOfUnitCounitproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.ReflQuiv.adj.unit.map_app_eqstatement · cited by 0
- CategoryTheory.Quiv.adj_homEquivstatement · cited by 0