Ideal.radical_iInf_le

∀ {R : Type u} [inst : CommSemiring R] {ι : Sort u_2} (I : ι → Ideal R), (⨅ i, I i).radical ≤ ⨅ i, (I i).radical

The reverse inclusion does not hold for e.g. I := fun n : ℕ ↦ Ideal.span {(2 ^ n : ℤ)}.

Defined in: Mathlib.RingTheory.Ideal.Operations
Cited by: 1 results in Mathlib
Foundations: Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommSemiring

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