Theorems · Definition · category theory
CategoryTheory.typeEquiv
Type u ≌ CategoryTheory.Sheaf CategoryTheory.typesGrothendieckTopology (Type u)
yoneda' induces an equivalence of categories between Type u and
Sheaf typesGrothendieckTopology (Type u).
- Defined in
- Mathlib.CategoryTheory.Sites.Types
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.Functor.compproof · cited by 6,529
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Presheaf.IsSheafstatement · cited by 991
- CategoryTheory.Sheafstatement and proof · cited by 763
- CategoryTheory.Equivalencestatement · cited by 601
- TypeCat.ofHomproof · cited by 389
- CategoryTheory.NatIso.ofComponentsproof · cited by 178
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.typeEquiv_counitIso_hom_app_hom_app_hom_applystatement and proof · cited by 0
- CategoryTheory.typeEquiv_counitIso_inv_app_hom_app_hom_apply_hom_applystatement and proof · cited by 0
- CategoryTheory.typeEquiv_functor_map_hom_app_hom_apply_hom_applystatement and proof · cited by 0
- CategoryTheory.typeEquiv_functor_obj_obj_map_hom_apply_hom_applystatement and proof · cited by 0
- CategoryTheory.typeEquiv_functor_obj_obj_objstatement and proof · cited by 0
- CategoryTheory.typeEquiv_inverse_mapstatement and proof · cited by 0
- CategoryTheory.typeEquiv_inverse_objstatement and proof · cited by 0
- CategoryTheory.typeEquiv_unitIso_hom_app_hom_apply_hom_applystatement and proof · cited by 0
- CategoryTheory.typeEquiv_unitIso_inv_app_hom_applystatement and proof · cited by 0