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Conversely
In logic, the converse of a categorical or implicational statement is the result of reversing its two parts. For the implication P → Q, the converse is Q → P. For the categorical proposition All S are P, the converse is All P are S. In neither case does the converse necessarily follow from the original statement.
Wikipedia
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Inversely (adverb)
In an inverse order or manner; by inversion.
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Conversely (adverb)
With a reversed relationship.
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Conversely (adverb)
From another point of view; on the other hand.
Wiktionary