Zrizin Makdimim Pioneering Progress and Proactivity

Even when Kiddush Levana could be said on a Tuesday, the Terumas HaDeshen says to wait for Motzei Shabbos. But isn't there a rule that those who are zariz do mitzvos as soon as they can? A related case: a man in jail is allowed out for one day a year, and he asks which day to take. The Chacham Tzvi sets two cases side by side and draws a line between them, then faces a hard question from Hallel on Rosh Hashanah. A lomdus look at when a hiddur outweighs rushing, and what counts as part of the mitzvah itself.