This is as we learned in a mishna (102b): One who says: It is incumbent upon me to bring a meal offering prepared in a pan, and he brought it in a deep pan, or if he says: It is incumbent upon me to bring a meal offering prepared in a deep pan, and he brought it in a pan, the meal offering that he brought, he brought, i.e., it is valid and the priest performs the rites of the meal offering that he actually brought, but he did not fulfill the obligation resulting from his vow, and he must bring another meal offering to fulfill that obligation.

The Gemara asks: But even so, the priest’s improper intent remains indiscernible, as people might think: Perhaps the owner said: This tenth of an ephah of flour is a meal offering that I must bring in a pan, and in spite of this he brought it in a deep pan. Such a meal offering is disqualified and is not considered a valid pan meal offering, as we learned in that same mishna: One who took a vow, saying: This tenth of an ephah of flour is a meal offering that I must bring in a pan, and he brought it in a deep pan, or if he vowed: This tenth of an ephah of flour is a meal offering that I must bring in a deep pan, and he brought it in a pan, it is disqualified, as he did not fulfill his vow. If so, how can Rabbi Shimon say that such a meal offering satisfies the owner’s obligation, when the intent is not recognizably false?