Theorems · Theorem · category theory
CategoryTheory.AreEqualizedByLocalization.mk
∀ {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] (W : CategoryTheory.MorphismProperty C) {X Y : C} (f g : X ⟶ Y)
(L : CategoryTheory.Functor C D) [L.IsLocalization W],
L.map f = L.map g → CategoryTheory.AreEqualizedByLocalization W f g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Functor.IsLocalizationstatement and proof · cited by 432
- CategoryTheory.areEqualizedByLocalization_iffproof · cited by 6
- CategoryTheory.AreEqualizedByLocalizationstatement · cited by 5
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