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"\uppercase{a\lowercase{bC}}" produces "Abc" in TeX?

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In TeX, \uppercase{a\lowercase{bC}} produces Abc not ABC, why? As far as I know, TeX will run the inner group before run the outer group, so I think it should be ABC and even \uppercase{a\expandafter{\lowercase{bC}}} can't change bc to BC. May you tell me the reason?


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