Theorems · Definition · category theory
ModuleCat.localizedModuleMap
{R : Type u} →
[inst : CommRing R] →
[inst_1 : Small.{v, u} R] →
{M N : ModuleCat R} → (S : Submonoid R) → (M ⟶ N) → (M.localizedModule S ⟶ N.localizedModule S)IsLocalizedModule.mapExtendScalars as a morphism in ModuleCat.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.Homstatement and proof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- Submonoidstatement and proof · cited by 3,086
- ModuleCatstatement and proof · cited by 1,429
- Smallstatement and proof · cited by 369
- ModuleCat.Hom.homproof · cited by 341
- Localizationstatement and proof · cited by 270
- ModuleCat.ofHomproof · cited by 200
- ModuleCat.localizedModulestatement · cited by 16
- IsLocalizedModule.mapExtendScalarsproof · cited by 8
- ModuleCat.localizedModuleMkLinearMapproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- ModuleCat.localizedModuleFunctorproof · cited by 8
- ModuleCat.localizedModuleFunctor_mapstatement · cited by 0
- ModuleCat.localizedModuleMap_hom_applystatement and proof · cited by 0