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jāti-lakṣaṇa-deśaiḥ anyatā-anavacchedāt-tulyayoḥ tataḥ pratipattiḥ
From that ascertainment of sameness, not separated by difference, existence, characteristics, place.
jāti - existence
lakṣaṇa - characteristic, attribute
deśa - place, point, region, spot
anyatā - difference
anavacchedā - not separated
tulya - sameness
tatas - hence, from that
pratipatti - ascertainment