Theorems · Definition · category theory
CategoryTheory.Cat.freeRefl
CategoryTheory.Functor CategoryTheory.ReflQuiv CategoryTheory.Cat
The functor sending a reflexive quiver to the free category it generates, a quotient of its path category
- Defined in
- Mathlib.CategoryTheory.Category.ReflQuiv
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Catstatement · cited by 884
- CategoryTheory.Bundled.αproof · cited by 736
- CategoryTheory.Cat.ofproof · cited by 189
- CategoryTheory.Functor.toCatHomproof · cited by 124
- CategoryTheory.Cat.FreeReflproof · cited by 34
- CategoryTheory.ReflQuivstatement and proof · cited by 28
- CategoryTheory.Cat.freeReflMapproof · cited by 5
Cited by11
Results whose statement or proof uses this declaration.
- SSet.Truncated.mapHomotopyCategoryproof · cited by 13
- CategoryTheory.ReflQuiv.adjstatement and proof · cited by 5
- CategoryTheory.ReflQuiv.adj_homEquivstatement and proof · cited by 0
- CategoryTheory.ReflQuiv.adj_unit_appstatement · cited by 0
- SSet.Truncated.hoFunctor₂_naturalitystatement · cited by 0
- CategoryTheory.Cat.freeReflNatTransstatement · cited by 0
- CategoryTheory.Cat.freeRefl_mapstatement and proof · cited by 0
- CategoryTheory.Cat.freeRefl_objstatement and proof · cited by 0
- CategoryTheory.ReflQuiv.adj.counit.comp_app_eqstatement · cited by 0
- CategoryTheory.ReflQuiv.adj.unit.map_app_eqstatement · cited by 0
- CategoryTheory.ReflQuiv.adj_counit_appstatement · cited by 0