Theorems · Definition · category theory
CategoryTheory.Grpd.free
CategoryTheory.Functor CategoryTheory.Cat CategoryTheory.Grpd
The free groupoid construction on a category as a functor.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 33 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 and proof · cited by 884
- CategoryTheory.Bundled.αproof · cited by 736
- CategoryTheory.Cat.Hom.toFunctorproof · cited by 531
- CategoryTheory.Grpdstatement · cited by 30
- CategoryTheory.FreeGroupoidproof · cited by 27
- CategoryTheory.FreeGroupoid.mapproof · cited by 14
- CategoryTheory.Grpd.ofproof · cited by 9
Cited by7
Results whose statement or proof uses this declaration.
- CategoryTheory.Grpd.freeForgetAdjunctionstatement · cited by 4
- CategoryTheory.Grpd.free_objstatement · cited by 0
- CategoryTheory.Grpd.freeForgetAdjunction_counit_appstatement · cited by 0
- CategoryTheory.Grpd.freeForgetAdjunction_homEquiv_applystatement · cited by 0
- CategoryTheory.Grpd.freeForgetAdjunction_homEquiv_symm_applystatement · cited by 0
- CategoryTheory.Grpd.freeForgetAdjunction_unit_appstatement · cited by 0
- CategoryTheory.Grpd.free_mapstatement · cited by 0