Theorems · Theorem · number theory
NumberField.IsCMField.of_forall_isConj
∀ (K : Type u_2) [inst : Field K] [inst_1 : CharZero K] [Algebra.IsIntegral ℚ K] [NumberField.IsTotallyComplex K]
[IsGalois ℚ K] {σ : Gal(K/ℚ)}, (∀ (φ : K →+* ℂ), NumberField.ComplexEmbedding.IsConj φ σ) → NumberField.IsCMField KA totally complex field that has a unique complex conjugation is CM.
- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 308 from the axioms · uses propext, Classical.choice, Quot.sound
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