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Theorems · Theorem · number theory

NumberField.InfinitePlace.IsComplex.mult_eq_two

∀ {K : Type u_1} [inst : Field K] {w : NumberField.InfinitePlace K}, w.IsComplex → w.mult = 2
Defined in
Mathlib.NumberTheory.NumberField.InfinitePlace.Basic
Cited by
2 results in Mathlib
Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
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NumberField.InfinitePlace.mult_isComplex · cited by 5InfinitePlace.mult_isComp…NumberField.InfinitePlace.mult_mul_finrank · cited by 0InfinitePlace.mult_mul_fi…Field · cited by 7404FieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.InfinitePlace.IsComplex · cited by 272InfinitePlace.IsComplexNumberField.InfinitePlace.mult · cited by 107InfinitePlace.multNumberField.InfinitePlace.not_isReal_iff_isComplex · cited by 25InfinitePlace.not_isReal_…IsComplex.mult_eq_twoCITED BYCITES

Cites5

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Cited by2

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