Theorems · Theorem · category theory
CategoryTheory.Functor.sectionsEquivHom_apply_app
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] (F : CategoryTheory.Functor C (Type u₂)) (X : Type u₂)
[inst_1 : Unique X] (s : ↑F.sections) (j : C), ((F.sectionsEquivHom X) s).app j = TypeCat.ofHom fun x => ↑s j- Defined in
- Mathlib.CategoryTheory.Yoneda
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- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
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- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- Equivstatement · cited by 8,337
- CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
- Set.Elemstatement and proof · cited by 7,166
- CategoryTheory.Functor.conststatement · cited by 1,264
- Uniquestatement and proof · cited by 400
- TypeCat.ofHomstatement · cited by 389
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