Theorems · Theorem · number theory
NumberField.CMExtension.algebraMap_equivMaximalRealSubfield_symm_apply
∀ (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] (x : ↥(NumberField.maximalRealSubfield K)),
(algebraMap F K) ((NumberField.CMExtension.equivMaximalRealSubfield F K).symm x) =
(algebraMap (↥(NumberField.maximalRealSubfield K)) K) x- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 306 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement and proof · cited by 4,706
- RingEquivstatement · cited by 1,147
- CharZerostatement and proof · cited by 932
- RingEquiv.symmstatement and proof · cited by 567
- Subfieldstatement · cited by 303
- Algebra.IsIntegralstatement and proof · cited by 224
- RingEquiv.apply_symm_applyproof · cited by 53
- NumberField.maximalRealSubfieldstatement and proof · cited by 38
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