Source for Breaking Shabbat for Saving Lives: Shabbat 132a
Saving Lives on Shabbat as a Law Spoken to Moses at Sinai: Shabbat 132a
Breaking Shabbat for someone once, to allow him to keep it many times in the future: Shabbat 151b, Yoma 85b
Procedure for Saving Lives on Shabbat: Yoma 84b Responsibility for breaking Shabbat, if one accidentally saves a life with the action: Menachot 64a
Aiding a person who has a non-life-threatening illness, via a Gentile: Shabbat 129a
Depending on a birthing mother's word to say she [doesn't] need something, at various stages of childbirth: Shabbat 128b-129a
Importance of Saving Lives on Shabbat: Yoma 85a-b, Ketuvot 5a
Of a Kuti: Yoma 85a
Helping a woman who is giving birth: Shabbat 128b, 129b; Eruvin 79b
Using Altered Methods in bringing items to aid a birthing woman: Shabbat 128b
Bringing a candle for a blind mother, so that she knows her assistants can see: Shabbat 128b
Aiding a newborn infant, including cutting the umbilical cord: Shabbat 128b, 129b
Aiding a person who undergoes blood-letting: Shabbat 129a-b; Eruvin 79b
If one breaks Shabbat to save someone, and then finds out his deed was unnecessary: Menachot 64a
Breaking one Forbidden Work where part of the profit isn't used, vs. 2 Forbidden Deeds where all of the profit is used: Menachot 64a-b
Holding public meetings on Shabbat for Saving Lives: Shabbat 150a
Overturning Rubble which is atop a Person on Shabbat
For Temporary Extension of the person's Life: Yoma 85a
Protecting a Dead Body: Yoma 85a
Where unsure if victim is alive: Yoma 83a, 85a
Where unsure of the victim's identity: Yoma 83a, 85a; Ketuvot 15b
Overturning Rubble on Yom Kippur: Yoma 82a