Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.LeftFractionRel.symm
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C} {X Y : C}
{z₁ z₂ : W.LeftFraction X Y},
CategoryTheory.MorphismProperty.LeftFractionRel z₁ z₂ → CategoryTheory.MorphismProperty.LeftFractionRel z₂ z₁- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.LeftFractionstatement and proof · cited by 67
- CategoryTheory.MorphismProperty.LeftFraction.Y'proof · cited by 57
- CategoryTheory.MorphismProperty.LeftFraction.fproof · cited by 52
- CategoryTheory.MorphismProperty.LeftFraction.sproof · cited by 51
- CategoryTheory.MorphismProperty.LeftFractionRelstatement and proof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.RightFractionRel.symmproof · cited by 1
- CategoryTheory.MorphismProperty.equivalenceLeftFractionRelproof · cited by 1