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Theorems · Theorem · number theory

Pell.IsFundamental.zpow_eq_one_iff

∀ {d : ℤ} {a : Pell.Solution₁ d}, Pell.IsFundamental a → ∀ (n : ℤ), a ^ n = 1 ↔ n = 0

The nth power of a fundamental solution is trivial if and only if n = 0.

Defined in
Mathlib.NumberTheory.Pell
Cited by
1 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

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