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7.4 Rules of Replacement II
Rules of replacement Rule #14 Transposition (Trans) (P  >  Q) becomes (~Q  >   ~P) Rule #15 Material implication (Impl) (P  >  Q) becomes (~P v Q) Rule #16 Material equivalence (Equiv) (P  =  Q) becomes (P  >  Q)  ·  (Q  >  P) (P  =  Q) can also become (P  · Q) v (~P · ~Q)
Rules, continued Rule #17 Exportation (Exp.) (P  · Q) >  R becomes P  >   (Q  >   R) Rule #18 Tautology P can be rewritten as P v P. P can also be rewritten as P  · P.

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7.4 Rules Of Replacement Ii

  • 1. 7.4 Rules of Replacement II
  • 2. Rules of replacement Rule #14 Transposition (Trans) (P > Q) becomes (~Q > ~P) Rule #15 Material implication (Impl) (P > Q) becomes (~P v Q) Rule #16 Material equivalence (Equiv) (P = Q) becomes (P > Q) · (Q > P) (P = Q) can also become (P · Q) v (~P · ~Q)
  • 3. Rules, continued Rule #17 Exportation (Exp.) (P · Q) > R becomes P > (Q > R) Rule #18 Tautology P can be rewritten as P v P. P can also be rewritten as P · P.