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Theorems · Theorem · category theory

CategoryTheory.FreeGroupoid.map_id

∀ (C : Type u) [inst : CategoryTheory.Category.{v, u} C],
  CategoryTheory.FreeGroupoid.map (CategoryTheory.Functor.id C) =
    CategoryTheory.Functor.id (CategoryTheory.FreeGroupoid C)
Defined in
Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory
Cited by
0 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.FreeGroupoid · cited by 27CategoryTheory.FreeGroupo…CategoryTheory.FreeGroupoid.of · cited by 21FreeGroupoid.ofCategoryTheory.FreeGroupoid.map · cited by 14FreeGroupoid.mapCategoryTheory.FreeGroupoid.lift_unique · cited by 5FreeGroupoid.lift_uniqueFreeGroupoid.map_idCITED BYCITES

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