Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.RightFraction.leftFraction_fac
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C}
[inst_1 : W.HasLeftCalculusOfFractions] {X Y : C} (φ : W.RightFraction X Y),
CategoryTheory.CategoryStruct.comp φ.f φ.leftFraction.s = CategoryTheory.CategoryStruct.comp φ.s φ.leftFraction.f- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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 · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.HasLeftCalculusOfFractionsstatement and proof · cited by 71
- CategoryTheory.MorphismProperty.LeftFraction.Y'statement · cited by 57
- CategoryTheory.MorphismProperty.LeftFraction.fstatement · cited by 52
- CategoryTheory.MorphismProperty.LeftFraction.sstatement · cited by 51
- CategoryTheory.MorphismProperty.RightFraction.sstatement · cited by 38
- CategoryTheory.MorphismProperty.RightFractionstatement and proof · cited by 37
- CategoryTheory.MorphismProperty.RightFraction.fstatement · cited by 36
- CategoryTheory.MorphismProperty.RightFraction.X'statement · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.LeftFraction.comp_eqproof · cited by 1
- CategoryTheory.MorphismProperty.RightFraction.leftFraction_fac_assocproof · cited by 0