Theorems · Definition · category theory

CategoryTheory.FreeGroupoid.strictUniversalPropertyFixedTarget

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {G : Type u₁} →
      [inst_1 : CategoryTheory.Groupoid G] →
        CategoryTheory.Localization.StrictUniversalPropertyFixedTarget (CategoryTheory.FreeGroupoid.of C) ⊤ G

The universal property of the free groupoid.

Defined in: Mathlib.CategoryTheory.Groupoid.FreeGroupoidOfCategory
Cited by: 0 results in Mathlib
Foundations: Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Groupoid

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorproof · cited by 16,252
Top.topstatement and proof · cited by 9,680
CategoryTheory.Functor.compproof · cited by 6,529
CategoryTheory.MorphismPropertystatement · cited by 2,179
CategoryTheory.Groupoidstatement and proof · cited by 182
CategoryTheory.MorphismProperty.IsInvertedByproof · cited by 118
CategoryTheory.FreeGroupoidstatement and proof · cited by 27
CategoryTheory.FreeGroupoid.ofstatement and proof · cited by 21
CategoryTheory.FreeGroupoid.liftproof · cited by 12
CategoryTheory.Localization.StrictUniversalPropertyFixedTargetstatement · cited by 8
CategoryTheory.FreeGroupoid.lift_specproof · cited by 4

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