Theorems · Definition · number theory
NumberField.Units.torsionOrder
(K : Type u_1) → [Field K] → ℕ
The order of the torsion subgroup.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
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.
- Fieldstatement and proof · cited by 7,404
- Unitsproof · cited by 2,804
- Nat.cardproof · cited by 844
- NumberField.RingOfIntegersproof · cited by 413
- NumberField.Units.torsionproof · cited by 53
Cited by18
Results whose statement or proof uses this declaration.
- NumberField.dedekindZeta_residueproof · cited by 4
- NumberField.Units.torsionOrder_posstatement · cited by 4
- NumberField.Units.even_torsionOrderstatement and proof · cited by 3
- NumberField.Ideal.tendsto_norm_le_div_atTop₀statement and proof · cited by 2
- NumberField.Units.rootsOfUnity_eq_torsionstatement and proof · cited by 2
- NumberField.Units.torsionOrder_ne_zerostatement · cited by 2
- NumberField.Ideal.tendsto_norm_le_and_mk_eq_div_atTopstatement and proof · cited by 1
- NumberField.Units.map_complexEmbedding_torsionstatement and proof · cited by 1
- Ideal.torsionMapQuot_injectivestatement and proof · cited by 1
- NumberField.Units.dvd_torsionOrder_of_isPrimitiveRootstatement and proof · cited by 1
- IsCyclotomicExtension.Rat.torsionOrder_eqstatement and proof · cited by 0
- NumberField.Ideal.tendsto_norm_le_div_atTopstatement and proof · cited by 0