Finiteness of minimal primes #
We prove finiteness of minimal primes above an ideal.
This is proved without reference to PrimeSpectrum to avoid heavy imports.
theorem
Ideal.finite_minimalPrimes_of_isNoetherianRing
(R : Type u_1)
[CommSemiring R]
[hR : IsNoetherianRing R]
(I : Ideal R)
:
theorem
minimalPrimes.finite_of_isNoetherianRing
(R : Type u_1)
[CommSemiring R]
[hR : IsNoetherianRing R]
:
(minimalPrimes R).Finite