Theorems · Definition · category theory
CategoryTheory.Limits.Fork.opUnopIso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{X Y : C} → {f g : X ⟶ Y} → (c : CategoryTheory.Limits.Fork f g) → c.op.unop ≅ cIf c is a fork, then c.op.unop is isomorphic to c.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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 and proof · cited by 32,603
- CategoryTheory.Isostatement · cited by 3,963
- Opposite.unopstatement · cited by 2,231
- Quiver.Hom.opstatement · cited by 1,948
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- Quiver.Hom.unopstatement · cited by 903
- CategoryTheory.Limits.WalkingParallelPairstatement · cited by 781
- CategoryTheory.Limits.parallelPairstatement · cited by 766
- CategoryTheory.Iso.reflproof · cited by 727
- CategoryTheory.Limits.Forkstatement and proof · cited by 85
- CategoryTheory.Limits.Fork.extproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.Fork.isLimitEquivIsColimitOpproof · cited by 0