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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.

Defined in
Mathlib.Condensed.Discrete.LocallyConstant
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.

CompHausLike.LocallyConstant.functor · cited by 11LocallyConstant.functorCompHausLike.LocallyConstant.counitApp · cited by 5LocallyConstant.counitAppCondensed.locallyConstantPresheaf · cited by 4Condensed.locallyConstant…LightCondensed.locallyConstantPresheaf · cited by 3LightCondensed.locallyCon…CompHausLike.LocallyConstant.functor_map_hom_app · cited by 1LocallyConstant.functor_m…Condensed.isoLocallyConstantOfIsColimit_inv · cited by 0Condensed.isoLocallyConst…LightCondensed.isoLocallyConstantOfIsColimit_inv · cited by 0LightCondensed.isoLocally…CompHausLike.LocallyConstant.adjunction_left_triangle · cited by 0LocallyConstant.adjunctio…CompHausLike.LocallyConstant.counitApp.congr_simp · cited by 0counitApp.congr_simpCompHausLike.LocallyConstant.counitApp_app · cited by 0LocallyConstant.counitApp…CompHausLike.LocallyConstant.counit_app_hom_app_hom_apply · cited by 0LocallyConstant.counit_ap…CompHausLike.LocallyConstant.functorToPresheavesIso · cited by 0LocallyConstant.functorTo…CompHausLike.LocallyConstant.functorToPresheaves_map_app · cited by 0LocallyConstant.functorTo…CompHausLike.LocallyConstant.functorToPresheaves_obj_map · cited by 0LocallyConstant.functorTo…CompHausLike.LocallyConstant.functorToPresheaves_obj_obj · cited by 0LocallyConstant.functorTo…DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorOpposite · cited by 8081OppositeCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTopCat.carrier · cited by 3184TopCat.carrierTopCat · cited by 1889TopCatQuiver.Hom.unop · cited by 903Hom.unopCategoryTheory.InducedCategory.Hom.hom · cited by 850Hom.homTypeCat.ofHom · cited by 389TypeCat.ofHomCompHausLike.toTop · cited by 258CompHausLike.toTopLocallyConstant · cited by 227LocallyConstantTopCat.Hom.hom · cited by 169Hom.homCompHausLike · cited by 145CompHausLikeLocallyConstant.functorToPres…CITED BYCITES

Cites17

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by16

Results whose statement or proof uses this declaration.