Theorems · Theorem · commutative algebra
Ideal.finite_setOfPred_absNorm_le
∀ {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
- 4 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Set.ofPredstatement and proof · cited by 6,101
- Idealstatement and proof · cited by 4,748
- Set.iUnionproof · cited by 2,483
- Set.extproof · cited by 2,266
- Set.Finitestatement and proof · cited by 1,814
- Set.Iccproof · cited by 1,702
- Module.Finitestatement and proof · cited by 1,032
- CharZerostatement and proof · cited by 932
- MonoidWithZeroHomstatement · cited by 704
Cited by4
Results whose statement or proof uses this declaration.
- Ideal.card_norm_le_eq_card_norm_le_add_oneproof · cited by 2
- Ideal.finite_setOfPred_absNorm_le₀proof · cited by 1
- NumberField.Units.dirichletUnitTheorem.exists_unitproof · cited by 1
- Ideal.finite_setOf_absNorm_leproof · cited by 0