Yosef Karo

“ Paragraph 3 - A Jew who apostatized and worships idols or desecrates Shabbat in public, even if he only breaks rabbinic prohibitions, is treated like an idolater. If he only desecrates Shabbat in private, even if he breaks Toraitic prohibitions, he is treated like a Jew and can renounce property. ”

“ Paragraph 4 - If a Jew apostatized and he had houses in a Jewish neighborhood that participated in the eruv for the whole year and he has no other exit [from his house besides for into the Jewish yard] , he renders the Jews forbidden for every Shabbat after his apostatizing. However, if he has a different exit to the non-Jewish neighborhood, even a small exit that he never used initially, [the Jews] force him to use the exit open to the non-Jew neighborhood. ”