Theorems · Theorem · number theory

NumberField.IsCMField.regOfFamily_realFunSystem

∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [inst_2 : NumberField.IsCMField K] [inst_3 : NumberField K],
  NumberField.Units.regOfFamily (NumberField.IsCMField.realFundSystem K) =
    2 ^ NumberField.Units.rank K * NumberField.Units.regulator ↥(NumberField.maximalRealSubfield K)

Defined in: Mathlib.NumberTheory.NumberField.CMField
Cited by: 1 results in Mathlib
Foundations: Depth 330 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field CharZero NumberField.IsCMField NumberField

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NumberField.IsCMField.regulator_div_regulator_eq_two_pow_mul_indexRealUnits_invproof · cited by 0