Under the strong four exponentials conjecture: if λ ∈ ℒ∖{0}, |u| is algebraic and e^{uλ} is algebraic, then u or uλ/λ̄ is rational

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Under the strong four exponentials conjecture: if λ ∈ ℒ∖{0}, |u| is algebraic and e^{uλ} is algebraic, then u or uλ/λ̄ is rational · Prove2Me