Proposition 2H
Given the following proposition:
∼[(B • ∼X) ⊃ ∼(Y ≡ ∼B)] ⊃ [∼(X ⊃ A) ∨ (B ⊃ ∼Y)]
-Given that A and B are true and X and Y are false, determine the truth value of Proposition 2H.

Question

Quizplus · Accepted Answer

- (B • ~X) evaluates to true, since B is true and X is false. 
- ~(Y ≡ ~B) also evaluates to true, since Y is false and ~B is true, so the equivalence statement becomes false which is negated by the outer negation. 
- Therefore, the left side of the implication becomes false. 
- On the right side, (B ⊃ ~Y) also evaluates to true, since B is true and Y is false. 
- Therefore, the entire proposition evaluates to true, since a false implication implies anything.

Proposition 2H Given the Following Proposition