1. (∀x) (∀y) (∀z) [(Pxy • Pyz) ⊃ Pxz]
2. (∀x) Pxf(x)
-Which of the following propositions is an immediate (one-step) consequence in FF of the given premises?
A) Pxx
B) Paa
C) Pf(x) f(x)
D) (∀y) (∀z) [(Pay • Pyz) ⊃ Paz]
E) (∀y) (∀z) {[Pf(x) y • Pyz] ⊃ Pxz}
Correct Answer:
Verified
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
Q160: 1. (∀x)(∀y)[f(x)=y ⊃ (Pax • Qay)]
2. ∼Pab
-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
Q166: 1. (∀x){Px ⊃ (∃y)[Py • f(x)=y]}
2. Pa
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