Is Lich bane/sheen good on Lux

This is a fairly simple question. Is Lich bane/Sheen good on Lux. I know Lux usually prioritises AP and CDR for more burst. I feel CDR combined with her passive could make Sheen really useful wmespecially in 1vs1 lining. Q-AA-E-AA. I would like a second opinion on this and was curios if it would be good in practice.
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