Mathlib Map

Theorems · Theorem · category theory

CategoryTheory.Functor.IsLocalization.inverts

∀ {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} {L : CategoryTheory.Functor C D}
  {W : CategoryTheory.MorphismProperty C} [self : L.IsLocalization W], W.IsInvertedBy L

the functor inverts the given MorphismProperty

Defined in
Mathlib.CategoryTheory.Localization.Predicate
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
CategoryTheory.Functor.IsLocalization
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.Localization.inverts · cited by 63Localization.invertsCategoryTheory.Functor.IsLocalization.isEquivalence · cited by 0IsLocalization.isEquivale…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.Functor.IsLocalization · cited by 432Functor.IsLocalizationCategoryTheory.MorphismProperty.IsInvertedBy · cited by 118MorphismProperty.IsInvert…IsLocalization.invertsCITED BYCITES

Cites5

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

Cited by2

Results whose statement or proof uses this declaration.