Theorems · Theorem · number theory
NumberField.IsCMField.is_quadratic
∀ {K : Type u_1} {inst : Field K} {inst_1 : CharZero K} [self : NumberField.IsCMField K],
Algebra.IsQuadraticExtension (↥(NumberField.maximalRealSubfield K)) K- Defined in
- Mathlib.NumberTheory.NumberField.CMField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NumberField.IsCMField
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- CharZerostatement and proof · cited by 932
- Subfieldstatement · cited by 303
- NumberField.IsCMFieldstatement and proof · cited by 45
- NumberField.maximalRealSubfieldstatement · cited by 38
- Algebra.IsQuadraticExtensionstatement · cited by 11
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