Theorems · Theorem · commutative algebra
Ideal.finite_setOfPred_absNorm_eq
∀ {S : Type u_1} [inst : CommRing S] [inst_1 : IsDedekindDomain S] [inst_2 : Module.Free ℤ S] [Module.Finite ℤ S]
[CharZero S] (n : ℕ), {I | Ideal.absNorm I = n}.Finite- Defined in
- Mathlib.RingTheory.Ideal.Norm.AbsNorm
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites36
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Semiringproof · cited by 13,802
- RingHomproof · cited by 10,189
- SetLike.coeproof · cited by 8,199
- Set.ofPredstatement and proof · cited by 6,101
- Set.imageproof · cited by 5,609
- Idealstatement and proof · cited by 4,748
- Bot.botproof · cited by 4,720
- Finiteproof · cited by 3,029
- FunLikeproof · cited by 2,560
Cited by3
Results whose statement or proof uses this declaration.
- Ideal.finite_setOfPred_absNorm_leproof · cited by 4
- Ideal.finite_setOf_absNorm_eqproof · cited by 0
- NumberField.tendsto_sub_one_mul_dedekindZeta_nhdsGTproof · cited by 0