contrariwise
From Longman Dictionary of Contemporary Englishcontrariwisecon‧tra‧ri‧wise /kənˈtreəriwaɪz, ˈkɒntrəriwaɪz $ ˈkɑːntreri-/ adverb British English OPPOSITE/REVERSEin the opposite way or direction SYN converselyExamples from the Corpuscontrariwise• But contrariwise it was an essential part of corporate liberty that it was open to negotiation.• Since there were five of them they could do without friends if necessary, and contrariwise this made friendship easier.