What is the ruling regarding the manumission of a Mudabbar (a slave designated for freedom upon the master's death) when the master owes a debt that is to be satisfied from the slave's value?

Primary text

If a master owns a slave designated for freedom upon his death (Mudabbar) valued at one hundred, and the master has two sons, and owes a debt of two hundred paid by one son, then two-thirds of the Mudabbar is freed immediately. This is because the portion of the slave corresponding to the debt paid by that son is considered satisfied from the slave's value. Furthermore, half of the debt owed by that son is dropped, as this portion corresponds to his inherited share in the slave. The remaining one hundred debt lies against the other son. For every amount satisfied from this remaining debt, one-third of the slave is freed.