 Six exponentials theorem

In mathematics, specifically transcendental number theory, the six exponentials theorem is a result that, given the right conditions on the exponents, guarantees the transcendence of at least one of a set of exponentials.If "x"1, "x"2..., "x""d" are "d" complex numbers that are linearly independent over the rational numbers, and "y"1, "y"2...,"y""l" are "l" complex numbers that are also linearly independent over the rational numbers, and if "dl" > "d" + "l", then at least one of the following "dl" numbers is transcendental