Theorems · Theorem · number theory
NumberField.IsCMField.regulator_div_regulator_eq_two_pow_mul_indexRealUnits_inv
∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [NumberField.IsCMField K] [inst_3 : NumberField K],
NumberField.Units.regulator K / NumberField.Units.regulator ↥(NumberField.maximalRealSubfield K) =
2 ^ NumberField.Units.rank K * (↑(NumberField.IsCMField.indexRealUnits K))⁻¹- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 331 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites25
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- Realstatement and proof · cited by 25,697
- Fieldstatement and proof · cited by 7,404
- Subgroupproof · cited by 3,593
- one_mulproof · cited by 2,841
- Unitsproof · cited by 2,804
- CharZerostatement and proof · cited by 932
- NumberFieldstatement and proof · cited by 653
- ne_of_gtproof · cited by 637
- NumberField.RingOfIntegersproof · cited by 413
- Subfieldstatement · cited by 303
- pow_posproof · cited by 292
- div_selfproof · cited by 237
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