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

Question

Quizplus · Accepted Answer

Given A and B are true, and X and Y are false, the proposition simplifies as follows: [(True ≡ ∼True) ∨ (False ⊃ False)] • [(False ⊃ True) ≡ ∼(False ∨ True)]. Simplifying inside the brackets: [False ∨ True] • [True ≡ False] simplifies to True • False, which is False.

Proposition 1H Given the Following Proposition