Theorems · Theorem · category theory
CategoryTheory.Localization.isGroupoid
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] (L : CategoryTheory.Functor C D) [L.IsLocalization ⊤],
CategoryTheory.IsGroupoid D- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Top.topstatement and proof · cited by 9,680
- CategoryTheory.MorphismPropertystatement · cited by 2,179
- CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
- CategoryTheory.MorphismProperty.isomorphismsproof · cited by 66
- CategoryTheory.Localization.invertsproof · cited by 63
- CategoryTheory.Localization.isoOfHomproof · cited by 35
- CategoryTheory.IsGroupoidstatement · cited by 7
- CategoryTheory.isGroupoid_iff_isomorphisms_eq_topproof · cited by 1
- CategoryTheory.Localization.morphismProperty_eq_topproof · cited by 1
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