The document contains a truth table with 8 rows evaluating an implication between statements p, q, and r. The truth table shows that the implication (P→~q) & (r → p) → ~r is true in all rows except the third row, where p is true, q is false, and r is true, making the implication false.

1. p q r
V V V
V V F
V F V
V F F
V V V
V V F
V F V
V F F

2. p q r (P→˜q) Λ ( r → p) → ˜r
V V V V F F V V V V F F
V V F V F F V F F V V V
V F V V V V V V V V F F
V F F V V V F F F V V V
V V V V F F V V V V F F
V V F V F F V F F V V V
V F V V F F V V V V F F
V F F V F F V F F V V V
1 2 3 r 4