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We prove a triangular decomposition theorem for the lower crystal lattice $\\OAztG$ of the quantized function algebra $\\OtG$, establishing that $\\OAztG=A_0\\text{-alg}<\\RAzp \\cup \\RAzm>.$ This extends the triangular decomposition recently obtained for types $A_n, B_n, C_n, D_n, E_6$, and $E_7$ in~\\cite{DDPa} to all simple complex Lie algebras. 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