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Theorems · Theorem · number theory

NumberField.IsTotallyComplex.mult_eq

∀ {K : Type u_2} [inst : Field K] [NumberField.IsTotallyComplex K] (w : NumberField.InfinitePlace K), w.mult = 2
Defined in
Mathlib.NumberTheory.NumberField.InfinitePlace.TotallyRealComplex
Cited by
1 results in Mathlib
Foundations
Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldNumberField.IsTotallyComplex
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Around this declaration

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NumberField.IsCMField.regOfFamily_realFunSystem · cited by 1IsCMField.regOfFamily_rea…Field · cited by 7404FieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.InfinitePlace.mult · cited by 107InfinitePlace.multNumberField.IsTotallyComplex · cited by 19NumberField.IsTotallyComp…NumberField.InfinitePlace.mult_isComplex · cited by 5InfinitePlace.mult_isComp…NumberField.IsTotallyComplex.isComplex · cited by 5IsTotallyComplex.isComplexIsTotallyComplex.mult_eqCITED BYCITES

Cites6

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Cited by1

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