What is the source of saving a life overrides the Sabbath? TB Yoma 85

 The Gemara has used a lot of real estate teaching us that saving a life overrides the Sabbath. But nowhere does the Torah explicitly says saving a life overrides the Sabbath. Consequently, today’s daf TB Yoma 85 wonders what the source for this halakha is by telling a story.

“§ The Gemara relates: It once happened that Rabbi Yishmael, and Rabbi Akiva, and Rabbi Elazar ben Azarya were walking on the road, and Levi HaSadar and Rabbi Yishmael, son of Rabbi Elazar ben Azarya, were walking respectfully behind them, since they were younger and did not walk alongside their teachers. This question was asked before them: From where is it derived that saving a life overrides Shabbat?” (Sefaria.org translation)

Each of those rabbis gives a different answer where this halakha is derived. Other tannaim suggest more sources for consideration. The amoraim were not satisfied with the tannaim’s answers. The Gemara favors Shmuel’s answer the best. I’ll share with you his answer because it is the most famous and known and let you look up all the other suggestions on your own. “Rav Yehuda said that Shmuel said: If I would have been there among those Sages who debated this question, I would have said that my proof is preferable to theirs, as it states: “You shall keep My statutes and My ordinances, which a person shall do and live by them” (Leviticus 18:5), and not that he should die by them. In all circumstances, one must take care not to die as a result of fulfilling the mitzvot.” (Sefaria.org translation)