Tā de qiánbèi yǐjīng shì gāoshǒu, ér tā gèngshèng-yīchóu.
His predecessor was already a master, yet he is even better.
Tips
memory
筹 originally meant a tally stick used for counting or keeping score. To be 更胜一筹 is literally to win by one more tally - to be ahead by one notch on the scoreboard.