1. (∀x) [Ax ⊃ (∀y) (By ⊃ Cxy) ]
2. (∃x) [Ex • (∀y) (Hy ⊃ Cxy) ]
3. (∀x) (∀y) (∀z) [(Cxy • Cyz) ⊃ Cxz]
4. (∀x) (Ex ⊃ Bx)
-Which of the following propositions is an immediate (one-step) consequence in F of the given premises?
A) Ax ⊃ (By ⊃ Cxy)
B) (∀z) [(Cab • Cbz) ⊃ Caz]
C) Eb ⊃ Be
D) Eb • (∀y) (Hy ⊃ Cby)
E) Ax ⊃ (∀y) (By ⊃ Cby)
Correct Answer:
Verified
Q48: 1. (∀x)[(Cx • Exa) ⊃ Dx]
2. Cd
Q49: 1. (∀x)[(Px Q50: 1. (∀x)[(Px Q51: 1. (∀x)[Ax ⊃ (∃y)(By • Cxy)] Q52: 1. (∀x)[Ax ⊃ (∃y)(By • Cxy)] Q54: 1. (∀x)[Ax ⊃ (∀y)(By ⊃ Cxy)] Q55: (∀x)[Px ⊃ (∃y)Rxy] ⊃ [(∀x)(∀y)∼Rxy ⊃ ∼(∃x)Px] Q56: (∀x)[Px ⊃ (∃y)Rxy] ⊃ [(∀x)(∀y)∼Rxy ⊃ ∼(∃x)Px] Q57: (∀x)[Px ⊃ (∃y)Qxy] ⊃ [(∃x)Px ⊃ (∃x)(∃y)Qxy] Q58: (∀x)[Px ⊃ (∃y)Qxy] ⊃ [(∃x)Px ⊃
2. (∃x)(Ax
2. (∃x)(Ax
2.
-Consider
-Which
-Consider
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