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Theorems · Definition · category theory

Quiver.freeGroupoidFunctor

{V : Type u} →
  [inst : Quiver V] →
    {V' : Type u'} →
      [inst_1 : Quiver V'] → V ⥤q V' → CategoryTheory.Functor (Quiver.FreeGroupoid V) (Quiver.FreeGroupoid V')

The functor of free groupoid induced by a prefunctor of quivers

Defined in
Mathlib.CategoryTheory.Groupoid.FreeGroupoid
Cited by
2 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
QuiverQuiver
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Quiver.freeGroupoidFunctor_comp · cited by 0Quiver.freeGroupoidFuncto…Quiver.freeGroupoidFunctor_id · cited by 0Quiver.freeGroupoidFuncto…CategoryTheory.Functor · cited by 16252CategoryTheory.FunctorQuiver · cited by 405QuiverPrefunctor · cited by 116PrefunctorPrefunctor.comp · cited by 35Prefunctor.compQuiver.FreeGroupoid · cited by 8Quiver.FreeGroupoidQuiver.FreeGroupoid.of · cited by 7FreeGroupoid.ofQuiver.FreeGroupoid.lift · cited by 5FreeGroupoid.liftQuiver.freeGroupoidFunctorCITED BYCITES

Cites7

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Cited by2

Results whose statement or proof uses this declaration.