Mathlib Map

Theorems · Definition · category theory

CategoryTheory.MorphismProperty.Q

{C : Type uC} →
  [inst : CategoryTheory.Category.{uC', uC} C] →
    (W : CategoryTheory.MorphismProperty C) → CategoryTheory.Functor C W.Localization

The obvious functor C ⥤ W.Localization

Defined in
Mathlib.CategoryTheory.Localization.Construction
Cited by
98 results in Mathlib
Foundations
Depth 19 from the axioms, rests on 103 definitions · uses propext, Quot.sound
Assumes
CategoryTheory.Category
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Localization.SmallHom.equiv · cited by 25SmallHom.equivCategoryTheory.Localization.SmallHom · cited by 24Localization.SmallHomCategoryTheory.Localization.SmallHom.mk · cited by 12SmallHom.mkCategoryTheory.Localization.SmallHom.comp · cited by 11SmallHom.compCategoryTheory.Localization.SmallHom.equiv_comp · cited by 11SmallHom.equiv_compCategoryTheory.Localization.SmallHom.equiv_mk · cited by 11SmallHom.equiv_mkCategoryTheory.Functor.IsLocalization.of_equivalence_target · cited by 8IsLocalization.of_equival…CategoryTheory.Localization.Construction.WhiskeringLeftEquivalence.functor · cited by 7WhiskeringLeftEquivalence…CategoryTheory.Localization.hasSmallLocalizedHom_iff · cited by 6Localization.hasSmallLoca…CategoryTheory.areEqualizedByLocalization_iff · cited by 6CategoryTheory.areEqualiz…CategoryTheory.Functor.IsLocalization.mk' · cited by 6IsLocalization.mk'CategoryTheory.Localization.SmallHom.mkInv · cited by 5SmallHom.mkInvCategoryTheory.AreEqualizedByLocalization · cited by 5CategoryTheory.AreEqualiz…CategoryTheory.Localization.Construction.objEquiv · cited by 5Construction.objEquivCategoryTheory.Localization.Construction.wIso · cited by 5Construction.wIsoCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…Prefunctor.obj · cited by 1241Prefunctor.objCategoryTheory.MorphismProperty.Localization · cited by 72MorphismProperty.Localiza…CategoryTheory.Quotient.functor · cited by 41Quotient.functorCategoryTheory.Paths.of · cited by 20Paths.ofCategoryTheory.Localization.Construction.LocQuiver · cited by 13Construction.LocQuiverCategoryTheory.Localization.Construction.relations · cited by 7Construction.relationsCategoryTheory.Localization.Construction.ψ₁ · cited by 0Construction.ψ₁MorphismProperty.QCITED BYCITES

Cites13

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by136

Results whose statement or proof uses this declaration.