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Theorem Char-upcase-yes

⊦ pos('a', sortedchars) ≤ pos(char, sortedchars) ∧ pos(char, sortedchars) ≤ pos('z', sortedchars) → upcase(char) = s→l(sortedchars)[pos(char, sortedchars) - (pos('a', sortedchars) - pos('A', sortedchars))]