1. A ⊃ B 2. B ⊃ D 3. ~D Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?    A) None of the above B) B  C)D ⊃ A D)A E)A ⊃ D

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1. A ⊃ B
2. B ⊃ D
3. ~D

Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
  
A) None of the above
B) B 
C)D ⊃ A
D)A
E)A ⊃ D 
 
Expert Solution
Step 1

Given premises are 

ABBD~D

Now, 

BD~D~B       (Contrapositive)

AB~B~A        (Contrapositive)

So, ~D~A               (Law of inference)

Thus AD                    (Contrapositive) 

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