Theorems · Theorem · commutative algebra
IsLocalization.finite
∀ (R : Type u_1) [inst : CommSemiring R] (M : Submonoid R) {S : Type u_2} [inst_1 : CommSemiring S]
[inst_2 : Algebra R S] [IsLocalization M S] [Finite R], Finite S- Defined in
- Mathlib.RingTheory.Localization.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 70 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.
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Submonoidstatement and proof · cited by 3,086
- Finitestatement and proof · cited by 3,029
- IsLocalizationstatement and proof · cited by 636
- IsLocalization.mk'proof · cited by 218
- IsLocalization.exists_mk'_eqproof · cited by 63
- Finite.of_surjectiveproof · cited by 14
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