Write the negation of the compound propostion . "If the examination is difficult, then I shall pass if I study hard".

Explanation

p: examination is difficult
q: I Shall pass,
r: I study hard
Given result is : `p to ( r to q) `
Now, `~ ( r to q) -=r ^^~q`
`:. ~ (p to (r to q) ) -= p ^^(r ^^~q)`
Therefore, required negation is , " The examination is difficult and I study hard but I shall not pass"