NumberField.exists_conjugate_one_le_norm

∀ {K : Type u_1} [inst : Field K] [NumberField K] {α : NumberField.RingOfIntegers K}, α ≠ 0 → ∃ σ, 1 ≤ ‖σ ↑α‖

Let α be a non-zero algebraic integer. Then α has a conjugate σ α with ‖σ α‖ ≥ 1.

Defined in: Mathlib.NumberTheory.NumberField.House
Cited by: 1 results in Mathlib
Foundations: Depth 298 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field NumberField

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