∀ {K : Type u_1} [inst : Field K] (w : NumberField.InfinitePlace K),
  NumberField.mixedEmbedding.fundamentalCone.expMap_single w =
    { toFun := fun x => Real.exp ((↑w.mult)⁻¹ * x), invFun := fun x => ↑w.mult * Real.log x, source := Set.univ,
      target := Set.Ioi 0, map_source' := ⋯, map_target' := ⋯, left_inv' := ⋯, right_inv' := ⋯,
      open_source := NumberField.mixedEmbedding.fundamentalCone.expMap_single._proof_5,
      open_target := NumberField.mixedEmbedding.fundamentalCone.expMap_single._proof_6, continuousOn_toFun := ⋯,
      continuousOn_invFun := ⋯ }