Complete the following natural deduction proof. the given numbered ines are the argument's premises, and the line beginning with a single slash is the argument's condusion. derive the argument's conclusion in a series of new lines using the proof checker befow, click add line t a new line to your proof. each new linee must contain a propositional logic statement, the previous line number(s) from which the new stater follows, and the abbreviation for the rule used. as long as every step is correct and you successfully obtain the argument's condlusion on its fine, the proof is correct. you may use any of the eight rules of implication in your proof. in some cases, there may be more than one correce path you can take to reach the condluslon, you can check each line as you go, or you can wait until your proof is completed to check the enti proof. if you make a mistake, click the fine you would like to modify. note: you may need to recheck subsequent lines if you make a change an already-entered line. when you have completed your proof, click check proof 2 cv (~h 0) 3o 4 (c k) 5 o x delete line add line check proof earch