Theorems · Definition · number theory
NumberField.discr
(K : Type u_1) → [inst : Field K] → [NumberField K] → ℤ
The absolute discriminant of a number field.
- Cited by
- 53 results in Mathlib
- Foundations
- Depth 188 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldNumberField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldstatement and proof · cited by 7,404
- NumberFieldstatement and proof · cited by 653
- Algebra.discrproof · cited by 38
- NumberField.RingOfIntegers.basisproof · cited by 12
Cited by55
Results whose statement or proof uses this declaration.
- NumberField.mixedEmbedding.volume_fundamentalDomain_latticeBasisstatement and proof · cited by 4
- NumberField.absNorm_differentIdealstatement and proof · cited by 4
- NumberField.coe_discrstatement · cited by 4
- NumberField.dedekindZeta_residueproof · cited by 4
- NumberField.hermiteTheorem.rank_le_rankOfDiscrBddstatement and proof · cited by 4
- NumberField.discr_eq_discrstatement and proof · cited by 3
- NumberField.rootDiscrproof · cited by 3
- IsCyclotomicExtension.Rat.discr_primestatement · cited by 2
- IsCyclotomicExtension.Rat.discr_prime_powstatement and proof · cited by 2
- NumberField.Ideal.tendsto_norm_le_div_atTop₀statement and proof · cited by 2
- NumberField.abs_discr_gestatement · cited by 2
- NumberField.abs_discr_ge'statement and proof · cited by 2