«اللاحَيُّ جماد»
The non-living is inanimate.
The subject “al-lā-ḥayy” is a compound conception including negation of being living. The predicate “inanimate” is nevertheless affirmed of that subject.
Subject: the non-living.
Predicate: the inanimate.
Judgment: an affirmative predication of the subject.
Negation within the subject term does not, by itself, turn the entire judgment into a negative proposition.