Priority of Entering or Exiting Prayer
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Question
One wants to leave the Beit Midrash for Shacharit prayer, and another wants to enter. Who has priority when there is only one door? And what is the source for this? (Logically, the one who wants to enter has precedence)
Answer
Shalom Rav
I have not found anyone discussing this.
However, since the one entering has the advantage of currently performing a mitzvah, and the one exiting has the advantage of having already prayed, it seems they are equal. As the Gemara states: 'Since they are equal, let both come'...
Source
Gemara B.K. 3.