Theorems · Theorem · commutative algebra
LocalizedModule.isBaseChange
∀ {R : Type u_1} [inst : CommSemiring R] (S : Submonoid R) (M : Type u_3) [inst_1 : AddCommMonoid M]
[inst_2 : Module R M], IsBaseChange (Localization S) (LocalizedModule.mkLinearMap S M)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Submonoidstatement and proof · cited by 3,086
- Localizationstatement and proof · cited by 270
- LocalizedModulestatement · cited by 154
- IsBaseChangestatement · cited by 87
- LocalizedModule.mkLinearMapstatement and proof · cited by 76
- IsLocalizedModule.isBaseChangeproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- LocalizedModule.equivTensorProductproof · cited by 7
- Module.rankAtStalk_eq_of_le_of_finite_of_flatproof · cited by 1
- Module.Free.away_of_finite_of_flat_of_rankAtStalk_constantproof · cited by 0