Also, a counterpoint: Shabbat is referred to in the text of Kiddush as a "remembrance of the Exodus from Egypt". There are various approaches to explain why thi

Also, a counterpoint: Shabbat is referred to in the text of Kiddush as a "remembrance of the Exodus from Egypt". There are various approaches to explain why this is (it's more obvious for the other holidays mentioned, but less so for Shabbat), but Maimonides' approach is: "This difference can easily be explained. In the former, the cause of the honor and distinction of the day is given: "Therefore the Lord blessed the day of the Sabbath and sanctified it", and the cause for this is, "For in six days," etc. But the fact that G-d has given us the law of the Sabbath and commanded us to keep it, as the consequence of our having been slaves; for then our work did not depend on our will, nor could we choose the time for it; and we could not rest. Thus God commanded us to abstain from work on the Sabbath, and to rest, for two purposes; namely, (1) That we might confirm the true theory, that of the Creation, which at once and clearly leads to the theory of the existence of God. (2) That we might remember how kind God has been in freeing us from the burden of the Egyptians."