1. (∀x) (∀y) [f(x) =y ⊃ (Pax • Qay) ]
2. ∼Pab
-Which of the following propositions is derivable from the given premises in FF?
A) Qax
B) Qay
C) (∀x) Qax
D) (∃x) f(b) =x
E) ∼(∃x) f(b) =x
Correct Answer:
Verified
Q155: 1. (∀x){Ax ⊃ [Bx • Bf(x)]}
2. ∼Bf(f(e))
-Which
Q156: 1. (∀x){Ax ⊃ [Bx • Bf(x)]}
2. ∼Bf(f(e))
-Which
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
Q161: 1. (∀x)(∀y)(∀z)[(Pxy • Pyz) ⊃ Pxz]
2. (∀x)Pxf(x)
-Which
Q162: 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
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