If you look at what Jesus says what we are to do, it's the same thing the law tells us to do, even Jesus takes it even further, that it's not only what we do but also what is going on in our heart.
Commandment 4 "What man is there among you who has one sheep, and it falls into a pit on the Sabbath, will not lay hold of it and lift it out? Of how much more value then is a man than a sheep? Therefore, it is lawful to do good on the Sabbath" (Matthew 12:11-12). "And pray that your flight may not be in winter or on the Sabbath" (Matthew 24:20); there would be no reason to pray this if the Sabbath was not going to be in existence. "And He said to them, 'The Sabbath was made for man, and not man for the Sabbath. Therefore the Son of Man is also Lord of the Sabbath'" (Mk 2:27); this verse tells all who will see which day is the Lord's Day. "And when the Sabbath had come, He began to teach in the synagogue" (Mark 6:2). "And as His custom was, He went into the synagogue on the Sabbath day, and stood up to read" (Luke 4:16). "Then He went down to Capernaum, a city of Galilee, and was teaching them on the Sabbaths" (Luke 4:31). "The Son of Man is also Lord of the Sabbath...Is it lawful on the Sabbath to do good or to do evil, to save life or to destroy?" (Luke 6:5,9). "But the ruler of the synagogue answered with indignation, because Jesus had healed on the Sabbath...The Lord then answered him and said, 'Hypocrite...So ought not this woman...be loosed from this bond on the Sabbath?'" (Luke 13:14-16). "'Is it lawful to heal on the Sabbath?'...And they could not answer Him regarding these things" (Luke 14:3,6). "are you angry with Me because I made a man completely well on the Sabbath?" (John 7:23).