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ajprincess Group Title

plzz help. How do I prove p∧(pvq)=p using laws of algebra of propositions

  • 2 years ago
  • 2 years ago

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  1. JamesJ Group Title
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    Do you have this theorem? Let A(x) be a statement involving x. If ~x ^ A(x) is always false, then A(x) = x. If so, then notice ~p ^ p ^ (pvq) = FALSE, hence p ^ (pvq) = p. Another way is ....

    • 2 years ago
  2. JamesJ Group Title
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    p∧(pvq) = (p^p) v (p^q) = p v (p ^ q), because p^p = p = p , because if p is false then both p and p^q are false.

    • 2 years ago
  3. timo86m Group Title
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    pvq would have to be = 1

    • 2 years ago
  4. timo86m Group Title
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    1/vq=p

    • 2 years ago
  5. timo86m Group Title
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    1/vq=p ^ that is not a :P

    • 2 years ago
  6. ajprincess Group Title
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    Thanxxx a lott.

    • 2 years ago
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