Theorems · Theorem · category theory
CategoryTheory.isDetector_iff_reflectsIsomorphisms_coyoneda_obj
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (G : C),
CategoryTheory.IsDetector G ↔ (CategoryTheory.coyoneda.obj (Opposite.op G)).ReflectsIsomorphisms- Defined in
- Mathlib.CategoryTheory.Generator.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- CategoryTheory.IsIsoproof · cited by 1,156
- ExistsUniqueproof · cited by 268
- CategoryTheory.coyonedastatement and proof · cited by 208
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