Theorems · Theorem · number theory

NumberField.mixedEmbedding.logMap_mul

∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] {x y : NumberField.mixedEmbedding.mixedSpace K},
  NumberField.mixedEmbedding.norm x ≠ 0 →
    NumberField.mixedEmbedding.norm y ≠ 0 →
      NumberField.mixedEmbedding.logMap (x * y) =
        NumberField.mixedEmbedding.logMap x + NumberField.mixedEmbedding.logMap y

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone
Cited by: 2 results in Mathlib
Foundations: Depth 301 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Cited by2

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NumberField.mixedEmbedding.logMap_real_smulproof · cited by 2
NumberField.mixedEmbedding.logMap_unit_smulproof · cited by 2