Theorems · Definition · category theory
CompHausLike.LocallyConstant.functorToPresheaves
{P : TopCat → Prop} →
CategoryTheory.Functor (Type (max u w)) (CategoryTheory.Functor (CompHausLike P)ᵒᵖ (Type (max u w)))The functor from the category of sets to presheaves on CompHausLike P given by locally constant
maps.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierproof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- TypeCat.ofHomproof · cited by 389
- CompHausLike.toTopproof · cited by 258
Cited by16
Results whose statement or proof uses this declaration.
- CompHausLike.LocallyConstant.functorproof · cited by 11
- CompHausLike.LocallyConstant.counitAppstatement and proof · cited by 5
- Condensed.locallyConstantPresheafproof · cited by 4
- LightCondensed.locallyConstantPresheafproof · cited by 3
- CompHausLike.LocallyConstant.functor_map_hom_appstatement · cited by 1
- Condensed.isoLocallyConstantOfIsColimit_invproof · cited by 0
- LightCondensed.isoLocallyConstantOfIsColimit_invproof · cited by 0
- CompHausLike.LocallyConstant.adjunction_left_trianglestatement and proof · cited by 0
- CompHausLike.LocallyConstant.counitApp.congr_simpstatement · cited by 0
- CompHausLike.LocallyConstant.counitApp_appstatement · cited by 0
- CompHausLike.LocallyConstant.counit_app_hom_app_hom_applystatement · cited by 0
- CompHausLike.LocallyConstant.functorToPresheavesIsostatement · cited by 0