Theorems · Theorem · commutative algebra
Algebra.QuasiFinite.finite_primeSpectrum
∀ (R : Type u_1) (S : Type u_2) [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Algebra R S] [Finite (PrimeSpectrum R)] [Algebra.QuasiFinite R S], Finite (PrimeSpectrum S)
- Defined in
- Mathlib.RingTheory.QuasiFinite.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 107 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.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Finitestatement and proof · cited by 3,029
- PrimeSpectrumstatement and proof · cited by 625
- Set.finite_univproof · cited by 52
- Algebra.QuasiFinitestatement and proof · cited by 28
- Set.finite_univ_iffproof · cited by 10
- Algebra.QuasiFinite.finite_comap_preimageproof · cited by 1
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