Theorems · Theorem · category theory
CategoryTheory.coyonedaPairingExt
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] {X : C × CategoryTheory.Functor C (Type v₁)}
{x y : (CategoryTheory.coyonedaPairing C).obj X}, (∀ (Y : C), x.app Y = y.app Y) → x = y- Defined in
- Mathlib.CategoryTheory.Yoneda
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 29 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.
Cites13
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 · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement · cited by 8,081
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- CategoryTheory.Functor.idstatement · cited by 3,333
- Opposite.unopstatement · cited by 2,231
- CategoryTheory.Functor.rightOpstatement · cited by 214
- CategoryTheory.coyonedastatement · cited by 208
- CategoryTheory.Functor.prodstatement · cited by 126
- CategoryTheory.NatTrans.extproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.coyonedaPairingExt_iffproof · cited by 0