Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.RightFraction.leftFraction_fac_assoc
∀ {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) {Z : C} (h : φ.leftFraction.Y' ⟶ Z),
CategoryTheory.CategoryStruct.comp φ.f (CategoryTheory.CategoryStruct.comp φ.leftFraction.s h) =
CategoryTheory.CategoryStruct.comp φ.s (CategoryTheory.CategoryStruct.comp φ.leftFraction.f h)- Cited by
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- Foundations
- Depth 11 from the axioms · uses Classical.choice, Quot.sound
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- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Category.assocproof · cited by 6,433
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.MorphismProperty.HasLeftCalculusOfFractionsstatement and proof · cited by 71
- CategoryTheory.MorphismProperty.LeftFraction.Y'statement and proof · cited by 57
- CategoryTheory.MorphismProperty.LeftFraction.fstatement and proof · cited by 52
- CategoryTheory.MorphismProperty.LeftFraction.sstatement and proof · cited by 51
- CategoryTheory.MorphismProperty.RightFraction.sstatement and proof · cited by 38
- CategoryTheory.MorphismProperty.RightFractionstatement and proof · cited by 37
- CategoryTheory.MorphismProperty.RightFraction.fstatement and proof · cited by 36
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