Theorems · Theorem · commutative algebra
Submodule.AssociatePrimes.mem_iff
∀ {R : Type u_1} {M : Type u_2} [inst : CommSemiring R] [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
{N : Submodule R M} {I : Ideal R}, I ∈ N.associatedPrimes ↔ N.IsAssociatedPrime I- Cited by
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- Foundations
- Depth 17 from the axioms · uses no axioms
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- Submodulestatement and proof · cited by 7,192
- Idealstatement and proof · cited by 4,748
- Submodule.associatedPrimesstatement · cited by 6
- Submodule.IsAssociatedPrimestatement · cited by 5
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