If u is transcendental over a subfield F of ℂ and uū ∈ F, then a + bu + cū is transcendental over F for all a, b, c ∈ F with (b, c) ≠ (0, 0)

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If u is transcendental over a subfield F of ℂ and uū ∈ F, then a + bu + cū is transcendental over F for all a, b, c ∈ F with (b, c) ≠ (0, 0) · Prove2Me