Theorems · Theorem · category theory
CategoryTheory.Localization.Construction.objEquiv_symm_apply
∀ {C : Type uC} [inst : CategoryTheory.Category.{uC', uC} C] (W : CategoryTheory.MorphismProperty C)
(X : W.Localization), (CategoryTheory.Localization.Construction.objEquiv W).symm X = X.as.obj- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
- Assumes
- CategoryTheory.Category
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Pathsstatement · cited by 82
- CategoryTheory.MorphismProperty.Localizationstatement and proof · cited by 72
- CategoryTheory.Quotient.asstatement · cited by 47
- CategoryTheory.Localization.Construction.LocQuiverstatement · cited by 13
- CategoryTheory.Localization.Construction.LocQuiver.objstatement · cited by 10
- CategoryTheory.Localization.Construction.relationsstatement · cited by 7
- CategoryTheory.Localization.Construction.objEquivstatement and proof · cited by 5
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