Halakhah for Arakhin 56:32
לאו תנאי היא
IF [THEY HAD BEEN] CONSECRATED AS A VOW, HE MUST GIVE THEIR VALUE,<span class="x" onmousemove="('comment',' If he vowed to bring an offering and after designating an animal for the purpose he devoted it, since if that animal died or was stolen he would be liable to replace it, the animal is still regarded as being in his possession and the animal is devoted. As, however, an animal once designated as an offering may never be used for any other purpose, the devoter must pay its full value to the priest, whilst the animal itself is to be sacrificed for the purpose to which it originally had been designated by its owner. The same would apply if the sacrifice in question had not been vowed but obligatory.');"><sup>19</sup></span>
Sefer HaChinukh
The commandment of the law of one who dedicates from his properties, that it is of the priests: To rule in matters of dedications (cherem, something that is put off limits) - that is, if anyone dedicated something of his possessions undifferentiatedly - for example, [if] he said, "Thing x of mine will become dedicated" - that thing must be given to the priest; as it is stated (Leviticus 27:28), "But any dedication that a man dedicates, etc." [That is,] unless he explicitly said that the dedication be to the Lord, or to the upkeep of the [Temple]. As so did the they, may their memory be blessed, say (Arakhin 28b), "Undifferentiated dedications are for the priest." And their proof is from that which is written explicitly in the section, "like the dedicated field, his holding shall be of the priest."
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