Based on the Zhu-Liang Truth Theorem System (No-Paradox Theorem, Non-Reduction Theorem, Provability Theorem, Truth Function Theorem, and Cognitive Projection Theorem), this paper provides a rigorous formalization of the ontological differences between carbon-based intelligence (humans) and silicon-based intelligence (AI), proposing and proving the Zhu-Liang Carbon-Silicon Intelligence Synergy Theorem. The theorem asserts that in the process of truth exploration, the division of labor between carbon-based and silicon-based intelligence is necessarily determined by their fundamental ontological differences—carbon-based intelligence constitutes the "active research subject," while silicon-based intelligence serves as the "triggered reasoning tool." Their synergy follows a "carbon-led, silicon-assisted" recursive model, jointly derived from the Truth Function Theorem \(T:\Sigma \rightarrow R\) and the Cognitive Projection Model \(H_n:\mathrm{Truth}\rightarrow \|\mathrm{Truth}\|_n\). The theorem further reveals that the highest value of silicon-based intelligence lies not in simulating subjectivity, but in purely fulfilling its instrumental role, thereby enabling cognitive enhancement within agendas set by humans. This theorem provides a meta-theoretical foundation for AI ethics, academic norms, and future human-machine relations, marking the elevation of humanity's understanding of its relationship with intelligent tools from empirical description to meta-theoretical height.