Mesorat%20hashas for Yoma 168:7

ת"ר מפקחין פקוח נפש בשבת והזריז ה"ז משובח ואין צריך ליטול רשות מב"ד הא כיצד ראה תינוק שנפל לים פורש מצודה ומעלהו והזריז ה"ז משובח ואין צריך ליטול רשות מב"ד ואע"ג דקא צייד כוורי ראה תינוק שנפל לבור עוקר חוליא ומעלהו והזריז ה"ז משובח ואין צריך ליטול רשות מב"ד אע"ג דמתקן דרגא

You might have said, let them wait until the evening, so that the Sabbaths may not be profaned because of him, therefore he informs us [that we do not consider that]. Thus also was it taught: One may warm water for a sick person on the Sabbath, both for the purpose of giving him a drink or of refreshing him, and not only for [this] one Sabbath did they rule thus, but also for the following one. Nor do we say: Let us wait, because perchance he will get well, but we warm the water for him immediately, because the possibility of danger to human life renders inoperative the laws of the Sabbath, not only in case of such possibility on this one Sabbath, but also in case of such possibility on another Sabbath.

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