Related על מעשר שני 1:2

A man who betroths [a woman] with meat [from an animal designated for] tithe, even if after slaughter—she is not betrothed [since the met belongs to the Temple, it is not his to give her]. With its bones, its tendons, its horns, its hooves, its blood, its fat, its skin, its wool—she is betrothed [though the meat belongs to the Temple, the rest of the animal does not]. A [kohen] who betroths [a woman] with his priestly portion (see Ehrfurt manuscript and Mishnah Kiddushin 2:8)—whether it is of most holy sacrifices or less holy sacrifices—she is not betrothed. With hekdesh, if he [did this] intentionally [i.e. he knew it was hekdesh]—he betroths because he misappropriated [Temple property such that it now belongs to him but not the Temple]; if unintentionally—he did not misappropriate [and thus she is not betrothed since the item belonged to the Temple and not to him]—words of Rabbi Meir. Rabbi Yehudah says: If there is something worth a perutah in the profits [from the hekdesh item when he exchanged it with a priest, he owns these profits which is not true for the hekdesh item itself]—she is betrothed; but if not—she is not betrothed. Said Rabbi: I agree with the words of Rabbi Yehudah with hekdesh, but the words of Rabbi Meir with second tithe (see Mishnah Kiddushin 2:8).