وَالْجَوَابُ أَنَّ قَيْدَ الْحَيْثِيَّةِ مَأْخُوذٌ فِي تَعْرِيفِ الْأُمُورِ الَّتِي تَخْتَلِفُ بِاعْتِبَارِ الْإِضَافَاتِ
The response is that definitions of things whose characterization varies with relationships implicitly include the qualification “insofar as.”
Correspondence occurs when the word signifies something insofar as it is the entire assigned sense. Inclusion occurs when the item is signified insofar as it is part of that assigned sense. Implication occurs when it is signified insofar as it is an external necessary concomitant.
One word may bear two kinds of relation to an item under distinct assignments, but once one assignment, one indicated item, and one respect are fixed, the classes remain distinct. This is the value of the classical “min ḥayth” qualification.