contrarily

adjective

1. opposed; in opposition: contrary to the rules
2. opposite in nature, order, direction, etc.; altogether different
3. unfavorable: contrary winds
4. inclined to oppose or disagree stubbornly; perverse

Origin: ME contrarie < OFr contraire < L contrarius, opposite, opposed < contra, against

noun pl. contraries

1. the opposite; thing that is the opposite of another
2. Logic either of two propositions so related that only one can be true but both may be false

adverb