Theorems · Theorem · category theory
CategoryTheory.Functor.IsLocalization.for_id
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C],
∀ W ≤ CategoryTheory.MorphismProperty.isomorphisms C, (CategoryTheory.Functor.id C).IsLocalization W- Cited by
- 1 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- CategoryTheory.Functor.idstatement and proof · cited by 3,333
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Functor.IsLocalizationstatement · cited by 432
- CategoryTheory.MorphismProperty.Localizationproof · cited by 72
- CategoryTheory.MorphismProperty.isomorphismsstatement and proof · cited by 66
- CategoryTheory.Functor.IsLocalization.mk'proof · cited by 6
- CategoryTheory.Localization.strictUniversalPropertyFixedTargetIdproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.IsLocalization.of_isEquivalenceproof · cited by 0