For u transcendental over the field of ℒ̃ with uū algebraic: if ℚ[S] has transcendence degree ≤ 1 and contains c + pu + qū with c ∈ ℒ and (p, q) ≠ (0, 0), its only element of ℒ is 0

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For u transcendental over the field of ℒ̃ with uū algebraic: if ℚ[S] has transcendence degree ≤ 1 and contains c + pu + qū with c ∈ ℒ and (p, q) ≠ (0, 0), its only element of ℒ is 0 · Prove2Me