∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] {x : (K →+* ℂ) → ℂ},
  x ∈ Submodule.span ℤ (Set.range ⇑(NumberField.canonicalEmbedding.latticeBasis K)) ↔
    x ∈ ((NumberField.canonicalEmbedding K).comp (algebraMap (NumberField.RingOfIntegers K) K)).range