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Theorems · Theorem · commutative algebra

Ideal.pi_le_pi_iff

∀ {ι : Type u_1} {R : ι → Type u_5} [inst : (i : ι) → Semiring (R i)] {I J : (i : ι) → Ideal (R i)},
  Ideal.pi I ≤ Ideal.pi J ↔ I ≤ J
Defined in
Mathlib.RingTheory.Ideal.Basic
Cited by
0 results in Mathlib
Foundations
Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Semiring
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Around this declaration

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Ideal.piOrderIso · cited by 2Ideal.piOrderIsoSemiring · cited by 13802SemiringIdeal · cited by 4748IdealPi.single · cited by 518Pi.singlePi.single_eq_same · cited by 144Pi.single_eq_sameIdeal.pi · cited by 5Ideal.piIdeal.single_mem_pi · cited by 2Ideal.single_mem_piIdeal.pi_le_pi_iffCITED BYCITES

Cites6

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Cited by1

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