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CategoryTheory.Grpd.freeForgetAdjunction_counit_app

∀ {D : Type u} [inst : CategoryTheory.Groupoid D],
  CategoryTheory.Grpd.freeForgetAdjunction.counit.app (CategoryTheory.Grpd.of D) =
    CategoryTheory.FreeGroupoid.lift (CategoryTheory.Functor.id D)
Defined in
Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory
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Foundations
Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Groupoid
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Quiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.NatTrans.app · cited by 7406NatTrans.appCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.Cat · cited by 884CategoryTheory.CatCategoryTheory.Adjunction.counit · cited by 376Adjunction.counitCategoryTheory.Groupoid · cited by 182CategoryTheory.GroupoidCategoryTheory.Grpd · cited by 30CategoryTheory.GrpdCategoryTheory.FreeGroupoid.lift · cited by 12FreeGroupoid.liftCategoryTheory.Grpd.of · cited by 9Grpd.ofCategoryTheory.Grpd.free · cited by 6Grpd.freeCategoryTheory.Grpd.forgetToCat · cited by 4Grpd.forgetToCatCategoryTheory.Grpd.freeForgetAdjunction · cited by 4Grpd.freeForgetAdjunctionGrpd.freeForgetAdjunction_cou…CITED BYCITES

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