Theorems · Theorem · number theory

NumberField.canonicalEmbedding.integralBasis_repr_apply

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

Defined in: Mathlib.NumberTheory.NumberField.CanonicalEmbedding.Basic
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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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

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Cited by1

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