Question

To prove a biconditional statement (p ↔ q), you need only prove (p → q) → q.
true or false

Answer 1

To prove a biconditional statement (p ↔ q), you need only prove (p → q) → q.

Step-by-step explanation:

The statement that to prove a biconditional statement (p ↔ q), you need only prove (p → q) → q is true.

To prove a biconditional statement, you need to show that both the forward implication (p → q) and the backward implication (q → p) are true. However, in this case, we only need to prove that if the forward implication (p → q) is true, then the statement q is also true.

By using logical deductions and the properties of biconditional statements, we can conclude that to prove a biconditional statement (p ↔ q), it is sufficient to prove (p → q) → q.