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Theorems · Theorem · number theory

NumberField.ComplexEmbedding.isReal_conjugate_iff

∀ {K : Type u_1} [inst : Field K] {φ : K →+* ℂ},
  NumberField.ComplexEmbedding.IsReal (NumberField.ComplexEmbedding.conjugate φ) ↔ NumberField.ComplexEmbedding.IsReal φ
Defined in
Mathlib.NumberTheory.NumberField.InfinitePlace.Embeddings
Cited by
1 results in Mathlib
Foundations
Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
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Around this declaration

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NumberField.InfinitePlace.isComplex_iff · cited by 7InfinitePlace.isComplex_i…RingHom · cited by 10189RingHomField · cited by 7404FieldComplex · cited by 5565ComplexNumberField.ComplexEmbedding.conjugate · cited by 40ComplexEmbedding.conjugateNumberField.ComplexEmbedding.IsReal · cited by 38ComplexEmbedding.IsRealIsSelfAdjoint.star_iff · cited by 2IsSelfAdjoint.star_iffComplexEmbedding.isReal_conju…CITED BYCITES

Cites6

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Cited by1

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