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

Question

Quizplus · Accepted Answer

Substituting the given truth values into the proposition, we get:

[(True ⊃ ∼ (True • False)] ≡ ∼[True ⊃ (False • ∼ True)]

Simplifying the proposition step by step, we get:

[True ⊃ ∼ False] ≡ ∼[True ⊃ False]

[True ⊃ True] ≡ ∼False

True ≡ True

Since the left-hand side and right-hand side are equal and both true, the proposition is true. Therefore, the answer is A.

Proposition 1A Given the Following Proposition