Theorems · Theorem · category theory

CategoryTheory.Localization.hasSmallLocalizedHom_of_isLocalization

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (W : CategoryTheory.MorphismProperty C) {D : Type u₂}
  [inst_1 : CategoryTheory.Category.{v₂, u₂} D] (L : CategoryTheory.Functor C D) [L.IsLocalization W] {X Y : C},
  CategoryTheory.Localization.HasSmallLocalizedHom W X Y

Defined in: Mathlib.CategoryTheory.Localization.SmallHom
Cited by: 0 results in Mathlib
Foundations: Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.Category CategoryTheory.Functor.IsLocalization

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functorstatement and proof · cited by 16,252
CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
CategoryTheory.Localization.HasSmallLocalizedHomstatement · cited by 30
CategoryTheory.Localization.hasSmallLocalizedHom_iffproof · cited by 6

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