# Chapter 3 - Logic - 3.6 Negations of Conditional Statements and De Morgan's Law - Exercise Set 3.6 - Page 179: 61

To form the negation of a conditional statement, leave the antecedent (the first part) unchanged, change the if-then connective to, and negate the consequent (the second part). Example: The negation of given statement is “I am in Los Angeles and not in California.” To form the negation of a conditional statement, leave the antecedent (the first part unchanged, change the $\text{if-then}$ connective to and) and negate the consequent the second part. By using following representation in statement, $p:$ I am in Los Angeles. $q:$ I am in California. Symbolic representation of statement is$p\to q$. Then negation of $p\to q$ is $p\wedge \sim q$ The statement form of $p\wedge \sim q$ is “If I am in Los Angeles and I am not in California.” The negation of provided conditional statement is “If I am in Los Angeles and I am not in California.”

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