Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.RightFraction.op_map
∀ {C : Type u_1} {D : Type u_2} [inst : CategoryTheory.Category.{v_1, u_1} C]
[inst_1 : CategoryTheory.Category.{v_2, u_2} D] {W : CategoryTheory.MorphismProperty C} {X Y : C}
(φ : W.RightFraction X Y) (L : CategoryTheory.Functor C D) (hL : W.IsInvertedBy L), (φ.map L hL).op = φ.op.map L.op ⋯- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.mapproof · cited by 8,698
- Oppositestatement · cited by 8,081
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- Quiver.Hom.opstatement and proof · cited by 1,948
- CategoryTheory.Functor.opstatement · cited by 997
- CategoryTheory.invproof · cited by 467
- CategoryTheory.MorphismProperty.IsInvertedBystatement and proof · cited by 118
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.Localization.exists_rightFractionproof · cited by 5
- CategoryTheory.MorphismProperty.RightFraction.map_eq_iffproof · cited by 1