Theorems · Theorem · number theory

NumberField.CMExtension.eq_maximalRealSubfield

∀ (K : Type u_2) [inst : Field K] [inst_1 : CharZero K] [Algebra.IsIntegral ℚ K] [NumberField.IsTotallyComplex K]
  (E : Subfield K) [NumberField.IsTotallyReal ↥E] [Algebra.IsQuadraticExtension (↥E) K],
  E = NumberField.maximalRealSubfield K

Defined in: Mathlib.NumberTheory.NumberField.CMField
Cited by: 0 results in Mathlib
Foundations: Depth 302 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field CharZero Algebra.IsIntegral NumberField.IsTotallyComplex NumberField.IsTotallyReal Algebra.IsQuadraticExtension

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