1. (∀x) (∀y) (∀z) [(Pxy • Pyz) ⊃ Pxz]
2. (∀x) Pxf(x)
-Which of the following propositions is derivable from the given premises in FF?
A) Pf(a) a
B) Pf(a) f(a)
C) (∀x) Pf(x) x
D) (∀x) Pf(x) f(x)
E) (∀x) Pxf(f(x) )
Correct Answer:
Verified
Q157: 1. (∀x)(∀y){Pf(x,y) ⊃ [Pf(x,x) • Pf(y,y)]}
2. a=f(d,b)
3.
Q158: 1. (∀x)(∀y){Pf(x,y) ⊃ [Pf(x,x) • Pf(y,y)]}
2. a=f(d,b)
3.
Q159: 1. (∀x)(∀y)[f(x)=y ⊃ (Pax • Qay)]
2. ∼Pab
-Which
Q160: 1. (∀x)(∀y)[f(x)=y ⊃ (Pax • Qay)]
2. ∼Pab
-Which
Q161: 1. (∀x)(∀y)(∀z)[(Pxy • Pyz) ⊃ Pxz]
2. (∀x)Pxf(x)
-Which
Q163: 1. (∀x)(∀y)[(Px • Py) ⊃ Pf(x,y)]
2. (∃x)[Px
Q164: 1. (∀x)(∀y)[(Px • Py) ⊃ Pf(x,y)]
2. (∃x)[Px
Q165: 1. (∀x){Px ⊃ (∃y)[Py • f(x)=y]}
2. Pa
Q166: 1. (∀x){Px ⊃ (∃y)[Py • f(x)=y]}
2. Pa
Q167: 1. (∀x)[(Px • Qx) ⊃ Rf(x)]
2. (∀x)[Rx
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