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Math Help - quantifiers

  1. #1
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    quantifiers

    for all a that are elements of the natural numbers, if b divides a and c divides a , then (bc) divides a.

    i dont think you can make a substitution for the free variables a and c that makes the statement true other than b=1 and c=1 because 1 is the only natural number that divides all integers

    is this right
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by leinadwerdna View Post
    for all a that are elements of the natural numbers, if b divides a and c divides a , then (bc) divides a.

    i dont think you can make a substitution for the free variables a and c that makes the statement true other than b=1 and c=1 because 1 is the only natural number that divides all integers

    is this right
    What exactly is your question?
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