Theorems · Theorem · commutative algebra
Ideal.IsRadical.inf
∀ {R : Type u} [inst : CommSemiring R] {I J : Ideal R}, I.IsRadical → J.IsRadical → (I ⊓ J).IsRadical- Defined in
- Mathlib.RingTheory.Ideal.Operations
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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Cites5
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
- inf_le_infproof · cited by 54
- Ideal.IsRadicalstatement and proof · cited by 30
- Ideal.radical_infproof · cited by 5
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