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non·im·pli·ca·tion | \ ˌnän-ˌim-plə-ˈkā-shən 
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\Definition of nonimplication
: lack of implication nonimplication of one premise by another The correlation between Japanese ancestry and disloyalty was nil. The nonimplication of Japanese-Americans in the Pearl Harbor attack was known.— Bruce Fein
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The first known use of nonimplication was in 1878
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