for every $a \in I$ there exists a $c \geq 0$ such that

$a^ c$ annihilates $H^0(\mathop{N\! L}\nolimits _{B/A}^\wedge )$, and

there exist $f_1, \ldots , f_ r \in J$ such that $a^ c J \subset (f_1, \ldots , f_ r) + J^2$.

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