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Theorems · Definition · category theory

CategoryTheory.ReflQuiv.forget

CategoryTheory.Functor CategoryTheory.Cat CategoryTheory.ReflQuiv

The forgetful functor from categories to quivers.

Defined in
Mathlib.CategoryTheory.Category.ReflQuiv
Cited by
14 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.

SSet.OneTruncation₂.ofNerve₂.natIso · cited by 5ofNerve₂.natIsoCategoryTheory.ReflQuiv.adj · cited by 5ReflQuiv.adjCategoryTheory.ReflQuiv.adj_homEquiv · cited by 0ReflQuiv.adj_homEquivCategoryTheory.ReflQuiv.adj_unit_app · cited by 0ReflQuiv.adj_unit_appCategoryTheory.ReflQuiv.forget_faithful · cited by 0ReflQuiv.forget_faithfulCategoryTheory.ReflQuiv.forget_forgetToQuiv · cited by 0ReflQuiv.forget_forgetToQ…CategoryTheory.ReflQuiv.forget_map · cited by 0ReflQuiv.forget_mapCategoryTheory.ReflQuiv.forget_obj · cited by 0ReflQuiv.forget_objSSet.OneTruncation₂.ofNerve₂.natIso_hom_app_map · cited by 0ofNerve₂.natIso_hom_app_m…SSet.OneTruncation₂.ofNerve₂.natIso_hom_app_obj · cited by 0ofNerve₂.natIso_hom_app_o…SSet.OneTruncation₂.ofNerve₂.natIso_inv_app_map · cited by 0ofNerve₂.natIso_inv_app_m…SSet.OneTruncation₂.ofNerve₂.natIso_inv_app_obj_map · cited by 0ofNerve₂.natIso_inv_app_o…SSet.OneTruncation₂.ofNerve₂.natIso_inv_app_obj_obj · cited by 0ofNerve₂.natIso_inv_app_o…CategoryTheory.ReflQuiv.adj.counit.comp_app_eq · cited by 0counit.comp_app_eqCategoryTheory.ReflQuiv.adj.unit.map_app_eq · cited by 0unit.map_app_eqQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Cat · cited by 884CategoryTheory.CatCategoryTheory.Bundled.α · cited by 736Bundled.αCategoryTheory.Cat.Hom.toFunctor · cited by 531Hom.toFunctorCategoryTheory.ReflQuiv · cited by 28CategoryTheory.ReflQuivCategoryTheory.Functor.toReflPrefunctor · cited by 6Functor.toReflPrefunctorCategoryTheory.ReflQuiv.of · cited by 6ReflQuiv.ofReflQuiv.forgetCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by16

Results whose statement or proof uses this declaration.