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Theorems · Definition · group theory

IsFreeGroupoid.of

{G : Type u_1} →
  {inst : CategoryTheory.Groupoid G} →
    [self : IsFreeGroupoid G] →
      {a b : IsFreeGroupoid.Generators G} →
        (a ⟶ b) →
          ((have this := a;
            this) ⟶
            b)
Defined in
Mathlib.GroupTheory.FreeGroup.NielsenSchreier
Cited by
7 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
Assumes
IsFreeGroupoid
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Around this declaration

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

IsFreeGroupoid.unique_lift · cited by 2IsFreeGroupoid.unique_liftIsFreeGroupoid.ext_functor · cited by 2IsFreeGroupoid.ext_functorIsFreeGroupoid.SpanningTree.loopOfHom_eq_id · cited by 1SpanningTree.loopOfHom_eq…IsFreeGroupoid.path_nonempty_of_hom · cited by 0IsFreeGroupoid.path_nonem…IsFreeGroupoid.SpanningTree.endIsFree · cited by 0SpanningTree.endIsFreeIsFreeGroupoid.SpanningTree.homOfPath.eq_def · cited by 0homOfPath.eq_defIsFreeGroupoid.ext_functor_iff · cited by 0IsFreeGroupoid.ext_functo…Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Groupoid · cited by 182CategoryTheory.GroupoidIsFreeGroupoid.Generators · cited by 11IsFreeGroupoid.GeneratorsIsFreeGroupoid · cited by 11IsFreeGroupoidIsFreeGroupoid.ofCITED BYCITES

Cites4

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Cited by7

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