If span(1, v, v̄, z, z̄) contains v² P(v) with P ≠ 0 and carries a 2×3 configuration, it contains a non-zero α v² + β v³

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If span(1, v, v̄, z, z̄) contains v² P(v) with P ≠ 0 and carries a 2×3 configuration, it contains a non-zero α v² + β v³ · Prove2Me