Theorems · Theorem · commutative algebra
isLocalizedModule_id
∀ {R : Type u_1} [inst : CommSemiring R] (S : Submonoid R) (M : Type u_2) [inst_1 : AddCommMonoid M]
[inst_2 : Module R M] (R' : Type u_6) [inst_3 : CommSemiring R'] [inst_4 : Algebra R R'] [IsLocalization S R']
[inst_6 : Module R' M] [IsScalarTower R R' M], IsLocalizedModule S LinearMap.id- Cited by
- 2 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, 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
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- Submonoidstatement and proof · cited by 3,086
- IsUnitproof · cited by 1,602
- one_smulproof · cited by 1,374
- Module.Endproof · cited by 774
- IsLocalizationstatement and proof · cited by 636
- LinearMap.idstatement and proof · cited by 625
Cited by2
Results whose statement or proof uses this declaration.
- Module.flat_iff_of_isLocalizationproof · cited by 2
- LinearIndependent.localizationproof · cited by 2