Consider the statement: For all integers a, b, and c, if alb then albc. Statement is false. Counter example is: a=3, b=9 and c-8. Her 319 but 3 does not divide 72. Statement is true. Let a= 3, b=9 and c= 8. Here 319 and 319*8 Statement is false by the transitivity property of divisibility Statement is true. We can write a direct formal proof

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