Reference for Yevamot 92:5

ורבי יהושע טבילה באמהות מנלן סברא הוא דאם כן במה נכנסו תחת כנפי השכינה

and we have a tradition that there must be no sprinkling without ritual ablution.<span class="x" onmousemove="('comment',' Ker, 9a. ');">¹³</span> Whence does R. Joshua infer that the mothers performed ritual ablution? — It is a logical conclusion, for, otherwise,<span class="x" onmousemove="('comment',' Lit., 'for if so', if even ablution was not performed. ');">¹⁴</span> whereby did they enter under the wings of the <i>Shechinah</i>!<span class="x" onmousemove="('comment',' V. Glos. They could not have been initiated without any ceremonial whatsoever. ');">¹⁵</span>

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