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Theorems · Theorem · number theory

Height.AdmissibleAbsValues.hasFiniteMulSupport

∀ {K : Type u_1} {inst : Field K} [self : Height.AdmissibleAbsValues K] {x : K},
  x ≠ 0 → Function.HasFiniteMulSupport fun v => ↑v x

Only finitely many (nonarchimedean) absolute values are ≠ 1 for any nonzero x : K.

Defined in
Mathlib.NumberTheory.Height.Basic
Cited by
2 results in Mathlib
Foundations
Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Height.AdmissibleAbsValues

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