Theorems · Theorem · category theory

CategoryTheory.Functor.IsLocalization.of_isEquivalence

∀ {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.isomorphisms C, ∀ [L.IsEquivalence], L.IsLocalization W

Defined in: Mathlib.CategoryTheory.Localization.Predicate
Cited by: 0 results in Mathlib
Foundations: Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Functor.IsEquivalence

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.Functor.idproof · cited by 3,333
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
CategoryTheory.Functor.leftUnitorproof · cited by 117
CategoryTheory.Functor.IsEquivalencestatement and proof · cited by 111
CategoryTheory.MorphismProperty.isomorphismsstatement and proof · cited by 66
CategoryTheory.Functor.asEquivalenceproof · cited by 58
CategoryTheory.Functor.IsLocalization.of_equivalence_targetproof · cited by 8
CategoryTheory.Functor.IsLocalization.for_idproof · cited by 1

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