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 I P ( a /x)  x P a does not occur in  x P a does not occur in an PowerPoint Presentation
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 I P ( a /x)  x P a does not occur in  x P a does not occur in an - PowerPoint PPT Presentation


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 I P ( a /x)  x P  E  xP P(a/x) Q Q a does not occur in undischarged assumption a does not occur in  xP a does not occur in Q.  I P ( a /x)  x P a does not occur in  x P a does not occur in an undischarged assumption  E  x P P ( a /x).  I

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Presentation Transcript
slide1

I

  • P(a/x)
  • xP
  • E
  • xP
  • P(a/x)
  • Q
  • Q
  • a does not occur in
  • undischarged assumption
  • a does not occur inxP
  • a does not occur in Q.
  • I
  • P(a/x)
  • xP
  • a does not occur in xP
  • a does not occur in an
  • undischarged assumption
  • E
  • xP
  • P(a/x)
slide2

I

  • P(a/x)
  • xP
  • a does not occur in xP
  • a does not occur in an
  • undischarged assumption
  • Fa Assumption
  • xFx 2 I
slide3

I

  • P(a/x)
  • xP
  • a does not occur in xP
  • a does not occur in an
  • undischarged assumption
  • Fa Assumption
  • xFx 2 I
  • xFxx Assumption
  • Fbb 1 E
  • xFxb 2 I
slide4

Fa

  • xGx
  • Ga
  • Fa &Ga
  • x(Fx&Gx)
  • x(Fx&Gx)
  • E
  • xP
  • P(a/x)
  • Q
  • Q
  • a does not occur in
  • undischarged assumption
  • a does not occur inxP
  • a does not occur in Q.
slide5

Fa

  • xGx
  • Ga
  • Fa &Ga
  • x(Fx&Gx)
  • x(Fx&Gx)
  • E
  • xP
  • P(a/x)
  • Q
  • Q
  • a does not occur in
  • undischarged assumption
  • a does not occur inxP
  • a does not occur in Q.
  • xyLyx
  • yLya
  • Laa
  • xLxx
  • xLxx
slide6

Fa

  • xGx
  • Ga
  • Fa &Ga
  • x(Fx&Gx)
  • x(Fx&Gx)
  • E
  • xP
  • P(a/x)
  • Q
  • Q
  • a does not occur in
  • undischarged assumption
  • a does not occur inxP
  • a does not occur in Q.
  • xyLyx
  • yLya
  • Laa
  • xLxx
  • xLxx
  • xFx
  • Fa
  • Fa
  • Fa