Theorems · Definition · category theory
CompHausLike.LocallyConstantModule.functorToPresheaves
{P : TopCat → Prop} →
(R : Type (max u w)) →
[inst : Ring R] → CategoryTheory.Functor (ModuleCat R) (CategoryTheory.Functor (CompHausLike P)ᵒᵖ (ModuleCat R))The functor from the category of R-modules to presheaves on CompHausLike P given by locally
constant maps.
- Defined in
- Mathlib.Condensed.Discrete.Module
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- Oppositestatement and proof · cited by 8,081
- Ringstatement and proof · cited by 7,463
- TopCat.carrierproof · cited by 3,184
- TopCatstatement and proof · cited by 1,889
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierproof · cited by 997
- Quiver.Hom.unopproof · cited by 903
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- ModuleCat.ofproof · cited by 594
- ModuleCat.Hom.homproof · cited by 341
Cited by7
Results whose statement or proof uses this declaration.
- CompHausLike.LocallyConstantModule.functorproof · cited by 3
- CondensedMod.LocallyConstant.functorToPresheavesproof · cited by 0
- CompHausLike.LocallyConstantModule.functorToPresheaves_map_appstatement and proof · cited by 0
- CompHausLike.LocallyConstantModule.functorToPresheaves_obj_mapstatement and proof · cited by 0
- CompHausLike.LocallyConstantModule.functorToPresheaves_obj_obj_carrierstatement and proof · cited by 0
- CompHausLike.LocallyConstantModule.functor_map_hom_app_hom_apply_applystatement · cited by 0
- LightCondMod.LocallyConstant.functorToPresheavesproof · cited by 0