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Theorems · Definition · group theory

IsFreeGroupoid.noConfusionType

Sort u →
  {G : Type u_1} →
    [inst : CategoryTheory.Groupoid G] →
      IsFreeGroupoid G → {G' : Type u_1} → [inst' : CategoryTheory.Groupoid G'] → IsFreeGroupoid G' → Sort u
Defined in
Mathlib.GroupTheory.FreeGroup.NielsenSchreier
Cited by
0 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
Assumes
CategoryTheory.GroupoidCategoryTheory.Groupoid
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Around this declaration

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

IsFreeGroupoid.noConfusion · cited by 0IsFreeGroupoid.noConfusionQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapGroup · cited by 6238GroupQuiver · cited by 405QuiverExistsUnique · cited by 268ExistsUniqueCategoryTheory.Groupoid · cited by 182CategoryTheory.GroupoidCategoryTheory.SingleObj · cited by 88CategoryTheory.SingleObjIsFreeGroupoid.Generators · cited by 11IsFreeGroupoid.GeneratorsIsFreeGroupoid · cited by 11IsFreeGroupoidQuiver.Labelling · cited by 2Quiver.LabellingIsFreeGroupoid.casesOn · cited by 0IsFreeGroupoid.casesOnIsFreeGroupoid.noConfusionTypeCITED BYCITES

Cites12

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

Cited by1

Results whose statement or proof uses this declaration.