Theorems · Theorem · number theory

NumberField.mixedEmbedding.latticeBasis_repr_apply

∀ (K : Type u_1) [inst : Field K] [inst_1 : NumberField K] (x : K)
  (i : Module.Free.ChooseBasisIndex ℤ (NumberField.RingOfIntegers K)),
  ((NumberField.mixedEmbedding.latticeBasis K).repr ((NumberField.mixedEmbedding K) x)) i =
    ↑(((NumberField.integralBasis K).repr x) i)

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic
Cited by: 1 results in Mathlib
Foundations: Depth 305 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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