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Theorems · Theorem · number theory

NumberField.IsCMField.complexConj_apply_eq_self

∀ (K : Type u_1) [inst : Field K] [inst_1 : CharZero K] [inst_2 : NumberField.IsCMField K]
  [inst_3 : Algebra.IsIntegral ℚ K] (x : ↥(NumberField.maximalRealSubfield K)),
  (NumberField.IsCMField.complexConj K) ↑x = ↑x
Defined in
Mathlib.NumberTheory.NumberField.CMField
Cited by
0 results in Mathlib
Foundations
Depth 303 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldCharZeroNumberField.IsCMFieldAlgebra.IsIntegral
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DFunLike.coe · cited by 62936DFunLike.coeField · cited by 7404FieldAlgEquiv · cited by 1681AlgEquivCharZero · cited by 932CharZeroSubfield · cited by 303SubfieldAlgebra.IsIntegral · cited by 224Algebra.IsIntegralAlgEquiv.commutes · cited by 49AlgEquiv.commutesNumberField.IsCMField · cited by 45NumberField.IsCMFieldNumberField.maximalRealSubfield · cited by 38NumberField.maximalRealSu…NumberField.IsCMField.complexConj · cited by 14IsCMField.complexConjIsCMField.complexConj_apply_e…CITED BYCITES

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