Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.RightFractionRel.op
∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {W : CategoryTheory.MorphismProperty C} {X Y : C}
{z₁ z₂ : W.RightFraction X Y},
CategoryTheory.MorphismProperty.RightFractionRel z₁ z₂ → CategoryTheory.MorphismProperty.LeftFractionRel z₁.op z₂.op- Cited by
- 3 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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.Homproof · cited by 32,603
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- Oppositestatement · cited by 8,081
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- Quiver.Hom.opproof · cited by 1,948
- CategoryTheory.MorphismProperty.opstatement · cited by 71
- CategoryTheory.MorphismProperty.LeftFraction.fproof · cited by 52
- CategoryTheory.MorphismProperty.LeftFraction.sproof · cited by 51
- CategoryTheory.MorphismProperty.RightFraction.sproof · cited by 38
- CategoryTheory.MorphismProperty.RightFractionstatement and proof · cited by 37
- CategoryTheory.MorphismProperty.RightFraction.fproof · cited by 36
Cited by3
Results whose statement or proof uses this declaration.
- CategoryTheory.MorphismProperty.leftFractionRel_op_iffproof · cited by 1
- CategoryTheory.MorphismProperty.RightFractionRel.symmproof · cited by 1
- CategoryTheory.MorphismProperty.RightFractionRel.transproof · cited by 1