Commentary for Chullin 209:6
אלא בית שמאי אומרים
in which Beth Shammai adopt the lenient ruling and Beth Hillel the strict ruling? - Rather this must be the interpretation: Beth Shammai say: One must clean [the mouth], and also rinse it; Beth Hillel say.
Rashi on Chullin
It is forbidden to eat cheese - Because meat exudes fat that stays in the mouth and the taste stays in the mouth.
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