Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.LeftFraction.Localization.map_eq_iff
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C}
[inst_1 : W.HasLeftCalculusOfFractions] {X Y : C} (f g : W.LeftFraction X Y),
f.map (CategoryTheory.MorphismProperty.LeftFraction.Localization.Q W) ⋯ =
g.map (CategoryTheory.MorphismProperty.LeftFraction.Localization.Q W) ⋯ ↔
CategoryTheory.MorphismProperty.LeftFractionRel f g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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 and proof · cited by 19,642
- CategoryTheory.Functorproof · cited by 16,252
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.IsInvertedByproof · cited by 118
- CategoryTheory.MorphismProperty.HasLeftCalculusOfFractionsstatement and proof · cited by 71
- CategoryTheory.MorphismProperty.LeftFractionstatement and proof · cited by 67
- CategoryTheory.Localization.invertsstatement and proof · cited by 63
- CategoryTheory.MorphismProperty.LeftFraction.mapstatement and proof · cited by 43
- CategoryTheory.MorphismProperty.LeftFraction.Localization.Qstatement and proof · cited by 21
- CategoryTheory.MorphismProperty.LeftFraction.Localizationstatement and proof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.LeftFraction.map_eq_iffproof · cited by 4