Theorems · Theorem · category theory
CategoryTheory.AreEqualizedByLocalization.map_eq_of_isInvertedBy
∀ {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},
CategoryTheory.AreEqualizedByLocalization W f g →
∀ (F : CategoryTheory.Functor C D), W.IsInvertedBy F → F.map f = F.map g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsInvertedBystatement and proof · cited by 118
- CategoryTheory.MorphismProperty.Qproof · cited by 98
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