Theorems · Theorem · number theory

NumberField.CMExtension.equivMaximalRealSubfield.congr_simp

∀ (F : Type u_1) (K : Type u_2) [inst : Field F] [inst_1 : NumberField.IsTotallyReal F] [inst_2 : Field K]
  [inst_3 : CharZero K] [inst_4 : Algebra.IsIntegral ℚ K] [inst_5 : NumberField.IsTotallyComplex K]
  [inst_6 : Algebra F K] [inst_7 : Algebra.IsQuadraticExtension F K],
  NumberField.CMExtension.equivMaximalRealSubfield F K = NumberField.CMExtension.equivMaximalRealSubfield F K

Defined in: Mathlib.NumberTheory.NumberField.CMField
Cited by: 0 results in Mathlib
Foundations: Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField.IsTotallyReal Field CharZero Algebra.IsIntegral NumberField.IsTotallyComplex Algebra Algebra.IsQuadraticExtension

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Algebrastatement and proof · cited by 11,388
Fieldstatement and proof · cited by 7,404
RingEquivstatement · cited by 1,147
CharZerostatement and proof · cited by 932
Subfieldstatement · cited by 303
Algebra.IsIntegralstatement and proof · cited by 224
NumberField.maximalRealSubfieldstatement · cited by 38
NumberField.IsTotallyRealstatement and proof · cited by 21
NumberField.IsTotallyComplexstatement and proof · cited by 19
Algebra.IsQuadraticExtensionstatement and proof · cited by 11
NumberField.CMExtension.equivMaximalRealSubfieldstatement and proof · cited by 3

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