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Theorems · Definition · category theory

Quiver.FreeGroupoid

(V : Type u_1) → [Q : Quiver V] → Type u_1

The underlying vertices of the free groupoid

Defined in
Mathlib.CategoryTheory.Groupoid.FreeGroupoid
Cited by
8 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
Quiver
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Around this declaration

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

CategoryTheory.FreeGroupoid.lift · cited by 12FreeGroupoid.liftQuiver.FreeGroupoid.of · cited by 7FreeGroupoid.ofCategoryTheory.FreeGroupoid.lift_unique · cited by 5FreeGroupoid.lift_uniqueQuiver.FreeGroupoid.lift · cited by 5FreeGroupoid.liftCategoryTheory.FreeGroupoid.lift_spec · cited by 4FreeGroupoid.lift_specCategoryTheory.FreeGroupoid.homRel · cited by 3FreeGroupoid.homRelQuiver.FreeGroupoid.lift_unique · cited by 3FreeGroupoid.lift_uniqueQuiver.freeGroupoidFunctor · cited by 2Quiver.freeGroupoidFunctorQuiver.FreeGroupoid.lift_spec · cited by 1FreeGroupoid.lift_specQuiver.FreeGroupoid.of_eq · cited by 1FreeGroupoid.of_eqCategoryTheory.FreeGroupoid.eq_mk · cited by 0FreeGroupoid.eq_mkCategoryTheory.FreeGroupoid.homRel.casesOn · cited by 0homRel.casesOnCategoryTheory.FreeGroupoid.homRel.recOn · cited by 0homRel.recOnQuiver.FreeGroupoid.quotInv · cited by 0FreeGroupoid.quotInvQuiver.freeGroupoidFunctor_comp · cited by 0Quiver.freeGroupoidFuncto…Quiver · cited by 405QuiverCategoryTheory.Quotient · cited by 48CategoryTheory.QuotientQuiver.FreeGroupoid.redStep · cited by 7FreeGroupoid.redStepQuiver.FreeGroupoidCITED BYCITES

Cites3

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.