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Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq_hom_mk

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C}
  [inst_1 : W.HasLeftCalculusOfFractions] {X Y : C} (f : W.LeftFraction X Y),
  CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk f =
    CategoryTheory.MorphismProperty.LeftFraction.Localization.Hom.mk f
Defined in
Mathlib.CategoryTheory.Localization.CalculusOfFractions
Cited by
1 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.HasLeftCalculusOfFractions
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CategoryTheory.Localization.exists_leftFraction · cited by 14Localization.exists_leftF…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.HasLeftCalculusOfFractions · cited by 71MorphismProperty.HasLeftC…CategoryTheory.MorphismProperty.LeftFraction · cited by 67MorphismProperty.LeftFrac…CategoryTheory.MorphismProperty.LeftFraction.Localization.Q · cited by 21Localization.QCategoryTheory.MorphismProperty.LeftFraction.Localization · cited by 20LeftFraction.LocalizationCategoryTheory.MorphismProperty.LeftFraction.Localization.Hom.mk · cited by 10Hom.mkCategoryTheory.MorphismProperty.LeftFraction.Localization.homMk · cited by 9Localization.homMkLocalization.homMk_eq_hom_mkCITED BYCITES

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