Theorems · Definition · commutative algebra

primesOverFinset

Deprecated since 2026-04-16Use IsDedekindDomain.primesOverFinset instead.

{A : Type u_4} →
  [inst : CommRing A] →
    Ideal A → (B : Type u_5) → [inst_1 : CommRing B] → [IsDedekindDomain B] → [Algebra A B] → Finset (Ideal B)

Alias of IsDedekindDomain.primesOverFinset. The finite set of all prime factors of the pushforward of p.

Defined in: Mathlib.RingTheory.DedekindDomain.Ideal.Lemmas
Cited by: 0 results in Mathlib
Foundations: Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing CommRing IsDedekindDomain Algebra

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CommRingstatement · cited by 17,173
Finsetstatement · cited by 13,712
Algebrastatement · cited by 11,388
Idealstatement · cited by 4,748
IsDedekindDomainstatement · cited by 668
IsDedekindDomain.primesOverFinsetproof · cited by 11

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