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    Prove the Transitive Theory

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    Prove the following theory:

    1) R1 is a subset of R2 => All of R3, R1R3 is a subset of R2R3 and
    2) R1 is a subset of R2 => All of n, (R1)^n is a subset (R2)^n
    3) Suppose R is transitive, then for all of n, R^n is a subset of R.

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    Prove the following theory:

    1) R1 is a subset of R2 => All of R3, R1R3 is a su bset of R2R3 and
    Proof. Suppose that , we know that and . Since , we have ...

    Solution Summary

    A transitive theory is proven. The solution is detailed and well presented.

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