«Lā Zaydun ...» has a definite proper name, preventing the special governance.
«Lā fī l-dāri rajulun ...» has an indefinite noun, but it is separated from lā by a phrase.
Both yield nominative nouns, for different reasons.
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Two Different Reasons for Nominative
Ism Inna and the Noun Governed by Lā of Generic Negation
«Lā Zaydun ...» has a definite proper name, preventing the special governance.
«Lā fī l-dāri rajulun ...» has an indefinite noun, but it is separated from lā by a phrase.
Both yield nominative nouns, for different reasons.