Theorems · Definition · category theory
TopCat.presheafToTypes
(X : TopCat) → (↑X → Type u_1) → TopCat.Presheaf (Type (max u_1 u_2)) X
The presheaf of dependently typed functions on X, with fibres given by a type family T.
There is no requirement that the functions are continuous, here.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Oppositeproof · cited by 8,081
- TopCat.carrierstatement and proof · cited by 3,184
- Opposite.unopproof · cited by 2,231
- TopologicalSpace.Opensproof · cited by 2,040
- TopCatstatement and proof · cited by 1,889
- Quiver.Hom.unopproof · cited by 903
- TypeCat.ofHomproof · cited by 389
- TopCat.Presheafstatement · cited by 371
Cited by6
Results whose statement or proof uses this declaration.
- TopCat.sheafToTypesproof · cited by 1
- TopCat.Presheaf.toTypes_isSheafstatement and proof · cited by 1
- TopCat.presheafToTypes_mapstatement and proof · cited by 0
- TopCat.presheafToTypes_objstatement · cited by 0
- TopCat.subpresheafToTypes.isSheafproof · cited by 0
- TopCat.subpresheafToTypes.subtypestatement · cited by 0