Theorems · Theorem · category theory
CategoryTheory.isGroupoid_of_reflects_iso
∀ {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] (F : CategoryTheory.Functor C D) [F.ReflectsIsomorphisms]
[CategoryTheory.IsGroupoid D], CategoryTheory.IsGroupoid C- Defined in
- Mathlib.CategoryTheory.Groupoid
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- Foundations
- Depth 10 from the axioms · uses no axioms
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Cites6
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
- CategoryTheory.Functor.ReflectsIsomorphismsstatement and proof · cited by 82
- CategoryTheory.isIso_of_reflects_isoproof · cited by 19
- CategoryTheory.IsGroupoidstatement and proof · cited by 7
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