Is “Li Ke once assassinated Xi Qi, Zhuozi, etc., and was later ordered to die or forced to commit suicide by Duke Hui of Jin.” true?

The Records of the Grand Historian, 'The Hereditary House of Jin', records: 'Li Ke and others had already killed Xi Qi and Zhuozi, and sent someone to welcome Chong'er in Di, intending to make him ruler. ... Yiwu said: 'If I am indeed established, I will cede the eight cities west of the Yellow River to Qin.' When he arrived and was established, he sent Pi Zheng to thank Qin, but reneged on the agreement and did not cede the western cities, and killed Li Ke.' The Chronicles of the Eastern Zhou Kingdoms, Chapter 29, describes in detail the circumstances of his forced suicide: 'Ke then drew his sword, leaped to the ground, and cried out: 'Heaven! What injustice! Loyal but punished, if the dead have knowledge, how can I face Xun Xi in the underworld?' Then he cut his own throat and died.' Both records reflect the historical fact that he died due to regicide and failure in political struggle.