«زيد لا عالم»
Zayd is a non-scholar.
Here “lā ʿālim” is taken as a compound predicate meaning non-scholar. This complex predicate is affirmed of Zayd in the proposition's affirmative structure.
Subject: Zayd.
Predicate: non-scholar.
Quality: affirmative predication with a negated predicate term.
If “Zayd is not a scholar” is analyzed as direct denial of the affirmative connection, its logical form is different. Denying a predicate and affirming a negative predicate-term are not the same analysis.