Theorems · Theorem · number theory

NumberField.mixedEmbedding.fundamentalCone.logMap_expMap

∀ {K : Type u_1} [inst : Field K] [inst_1 : NumberField K] {x : NumberField.mixedEmbedding.realSpace K},
  NumberField.mixedEmbedding.norm
        (NumberField.mixedEmbedding.mixedSpaceOfRealSpace (↑NumberField.mixedEmbedding.fundamentalCone.expMap x)) =
      1 →
    NumberField.mixedEmbedding.logMap
        (NumberField.mixedEmbedding.mixedSpaceOfRealSpace (↑NumberField.mixedEmbedding.fundamentalCone.expMap x)) =
      fun w => x ↑w

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.NormLeOne
Cited by: 1 results in Mathlib
Foundations: Depth 301 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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Cites34

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

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Cited by1

Results whose statement or proof uses this declaration.

NumberField.mixedEmbedding.fundamentalCone.logMap_expMapBasisproof · cited by 0