उपाधिभ्यां त्यकन्नासन्नारूढयोः

Operational rule vidhi

The affix त्यकन् comes in the sense of 'nearness' and after the words 1. उप and 2. अधि , respectively, the words so formed being Names.

Word by word (padaccheda)

Left context उप- अधिभ्याम् pañcamī · dvivacanaSubstitute / term त्यकन् prathamā · ekavacanaRight context आसन्न- आरूढयोः saptamī · dvivacana

Left context Pañcamī (5th case): "after X", the operation applies to what follows (1.1.67 तस्मादित्युत्तरस्य). Also used for limits and sources.
Substitute / term Prathamā (1st case): in operational rules, the substitute or the thing introduced; in definitions, the term or its referent.
Right context Saptamī (7th case): "when X follows", the operation applies to what precedes (1.1.66 तस्मिन्निति निर्दिष्टे पूर्वस्य). Also a condition or domain ("in the sense of").

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Full reading

उप-अधिभ्याम् त्यकन् आसन्न-आरूढयोः

Pāṇini leaves out words that carry over from earlier sūtras. Expand to see the rule as a reader actually understands it.

Commentary

The affix त्यकन् comes in the sense of 'nearness' and after the words 1. उप and 2. अधि , respectively, the words so formed being Names.
Thus उपत्यका = पर्वतस्थासन्नम् 'lowland, a land at the foot of the mountain', अधित्यका = पर्वतस्यारूढम् 'a table-land, high-land'. The rule 7.3.44 does not apply here, so we do not get the forms उपत्यिका or अधित्यिका ॥

Śrīśa Chandra Vasu, The Ashtadhyayi of Panini (1897), via ashtadhyayi.com.