Ideal.exists_le_prime_notMem_of_isIdempotentElem

∀ {α : Type u} [inst : CommSemiring α] (I : Ideal α) (a : α),
  IsIdempotentElem a → a ∉ I → ∃ p, p.IsPrime ∧ I ≤ p ∧ a ∉ p

Defined in: Mathlib.RingTheory.Ideal.Maximal
Cited by: 1 results in Mathlib
Foundations: Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring

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