Theorems · Theorem · category theory
ModuleCat.localizedModuleFunctor_obj
∀ {R : Type u} [inst : CommRing R] [inst_1 : Small.{v, u} R] (S : Submonoid R) (M : ModuleCat R),
(ModuleCat.localizedModuleFunctor S).obj M = M.localizedModule S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- 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
- Localizationstatement · cited by 270
- ModuleCat.localizedModulestatement · cited by 16
- ModuleCat.localizedModuleFunctorstatement and proof · cited by 8
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