Theorems · Theorem · commutative algebra
Ideal.IsPrimary.inf
∀ {R : Type u_1} [inst : CommSemiring R] {I J : Ideal R},
I.IsPrimary → J.IsPrimary → I.radical = J.radical → (I ⊓ J).IsPrimary- Defined in
- Mathlib.RingTheory.Ideal.IsPrimary
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Idealstatement and proof · cited by 4,748
- Ideal.radicalstatement and proof · cited by 121
- Ideal.IsPrimarystatement and proof · cited by 13
- Submodule.colon_univproof · cited by 7
- Submodule.IsPrimary.infproof · cited by 2
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