Definition of contrariwise adverb from the Oxford Advanced American Dictionary

     

    contrariwise

     adverb
    adverb
    NAmE//ˈkɑntrɛriˌwaɪz//
     
    (formal)
     
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  1. 1 used at the beginning of a sentence or clause to introduce a contrast You can only vote if you are a member. Contrariwise, not all members have the right to vote.
  2. 2in the opposite way It worked contrariwise—first you dialed the number, then you put the money in.
See the Oxford Advanced Learner's Dictionary entry: contrariwise