Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.LeftFraction.Localization.homMk_eq
∀ {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 =
f.map (CategoryTheory.MorphismProperty.LeftFraction.Localization.Q W) ⋯- Cited by
- 2 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.Functor.mapproof · cited by 8,698
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Category.comp_idproof · cited by 2,119
- CategoryTheory.cancel_monoproof · cited by 435
- CategoryTheory.MorphismProperty.HasLeftCalculusOfFractionsstatement and proof · cited by 71
- CategoryTheory.MorphismProperty.LeftFractionstatement and proof · cited by 67
- CategoryTheory.Localization.invertsstatement and proof · cited by 63
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.exists_leftFractionproof · cited by 14
- CategoryTheory.MorphismProperty.LeftFraction.Localization.map_eq_iffproof · cited by 1