Theorems · Definition · category theory
CategoryTheory.Functor.RepresentableBy.toIso
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{F : CategoryTheory.Functor Cᵒᵖ (Type v₁)} → {Y : C} → F.RepresentableBy Y → (CategoryTheory.yoneda.obj Y ≅ F)The isomorphism yoneda.obj Y ≅ F induced by e : F.RepresentableBy Y.
- Defined in
- Mathlib.CategoryTheory.Yoneda
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Isostatement · cited by 3,963
- CategoryTheory.yonedastatement · cited by 351
- CategoryTheory.Functor.RepresentableBystatement and proof · cited by 51
- CategoryTheory.Functor.representableByEquivproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.reprWproof · cited by 1