Theorems · Theorem · number theory
NumberField.Units.regulator_pos
∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K], 0 < NumberField.Units.regulator K
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 330 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- NumberFieldstatement and proof · cited by 653
- NumberField.Units.regulatorstatement · cited by 19
- NumberField.Units.regulator_eq_regOfFamily_fundSystemproof · cited by 7
- NumberField.Units.isMaxRank_fundSystemproof · cited by 4
- NumberField.Units.regOfFamily_posproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- NumberField.Ideal.tendsto_norm_le_and_mk_eq_div_atTopproof · cited by 1
- NumberField.dedekindZeta_residue_posproof · cited by 1
- NumberField.Units.regulator_ne_zeroproof · cited by 0