Proposition 1E
Given the following proposition:
∼{[(Y ≡ ∼ A) ⊃ (∼ X ∨ Y)] • (∼ B ∨ ∼ X)}
-Given that A and B are true and X and Y are false, determine the truth value of Proposition 1E.

Question

Quizplus · Accepted Answer

Given A and B are true, and X and Y are false, the proposition simplifies as follows: ∼{[(false ≡ true) ⊃ (true ∨ false)] • (true ∨ true)} simplifies to ∼{[false ⊃ true] • true} which simplifies further to ∼{true • true} = ∼true = false.

Proposition 1E Given the Following Proposition