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Theorems · Theorem · number theory

NumberField.Units.torsionOrder_ne_zero

∀ (K : Type u_1) [inst : Field K] [NumberField K], NumberField.Units.torsionOrder K ≠ 0
Defined in
Mathlib.NumberTheory.NumberField.Units.Basic
Cited by
2 results in Mathlib
Foundations
Depth 299 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.Ideal.tendsto_norm_le_and_mk_eq_div_atTop · cited by 1Ideal.tendsto_norm_le_and…IsCyclotomicExtension.Rat.torsionOrder_eq · cited by 0Rat.torsionOrder_eqField · cited by 7404FieldLT.lt.ne' · cited by 1417lt.ne'NumberField · cited by 653NumberFieldNumberField.Units.torsionOrder · cited by 17Units.torsionOrderNumberField.Units.torsionOrder_pos · cited by 4Units.torsionOrder_posUnits.torsionOrder_ne_zeroCITED BYCITES

Cites5

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Cited by2

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