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Math Help - Axiom Proofs

  1. #1
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    Axiom Proofs

    Prove the Axiom of Pair using: "for any A and B, there is a set C such that A is in C and B is in C."

    Prove the Axiom of Union using: "for any S, there exist U such that if X is in A and A is in S, then X is in U."

    Prove the Axiom of Power Set using: "for any set S, there exists P such that X is a subset of S implies X is in P."

    I would really appreciate any input. Thanks!
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  2. #2
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    Quote Originally Posted by larryj76 View Post
    Prove the Axiom of Pair using: "for any A and B, there is a set C such that A is in C and B is in C."

    Prove the Axiom of Union using: "for any S, there exist U such that if X is in A and A is in S, then X is in U."

    Prove the Axiom of Power Set using: "for any set S, there exists P such that X is a subset of S implies X is in P."

    I would really appreciate any input. Thanks!
    Can you prove an axiom??
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