Theorems · Theorem · commutative algebra
IsLocalization.isLocalization_of_base_ringEquiv
∀ {R : Type u_1} [inst : CommSemiring R] (M : Submonoid R) (S : Type u_2) [inst_1 : CommSemiring S]
[inst_2 : Algebra R S] {P : Type u_3} [inst_3 : CommSemiring P] [IsLocalization M S] (h : R ≃+* P),
IsLocalization (Submonoid.map h M) S- Defined in
- Mathlib.RingTheory.Localization.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomproof · cited by 10,189
- SetLike.coeproof · cited by 8,199
- Algebra.algebraMapstatement and proof · cited by 4,706
- Monoidproof · cited by 3,887
- Submonoidstatement and proof · cited by 3,086
- IsUnitproof · cited by 1,602
- RingEquivstatement and proof · cited by 1,147
- map_mulproof · cited by 1,137
- RingHom.compstatement and proof · cited by 899
Cited by1
Results whose statement or proof uses this declaration.
- IsLocalization.isLocalization_iff_of_base_ringEquivproof · cited by 2