Theorems · Theorem · number theory

NumberField.mixedEmbedding.logMap_eq_of_normAtPlace_eq

∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] {x y : NumberField.mixedEmbedding.mixedSpace K},
  (∀ (w : NumberField.InfinitePlace K),
      (NumberField.mixedEmbedding.normAtPlace w) x = (NumberField.mixedEmbedding.normAtPlace w) y) →
    NumberField.mixedEmbedding.logMap x = NumberField.mixedEmbedding.logMap y

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.FundamentalCone
Cited by: 2 results in Mathlib
Foundations: Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites19

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

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Cited by2

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.fundamentalCone.logMap_normAtAllPlacesproof · cited by 2
NumberField.mixedEmbedding.fundamentalCone.mem_of_normAtPlace_eqproof · cited by 0