Ring.HasFiniteQuotients.finite_cardQuot_le

∀ {R : Type u_1} [inst : CommRing R] [Ring.HasFiniteQuotients R] (B : ℕ), {I | Submodule.cardQuot I ≤ B}.Finite

For every bound B, a ring with finite quotients has only finitely many ideals of norm bounded by B.

Defined in: Mathlib.RingTheory.Ideal.Quotient.HasFiniteQuotients
Cited by: 2 results in Mathlib
Foundations: Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Ring.HasFiniteQuotients

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