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February 18th, 2018, 08:57 AM  #1 
Newbie Joined: Feb 2018 From: USA Posts: 2 Thanks: 0  Negation & Simplification of Proposition
I am attempting to negate and simplify this proposition: $ ∃_x((p(x) ∧ q(x)) $ My attempt to solve this: $$∀_x(¬p(x) ∨ ¬ q(x))$$ $$∀_x(p(x) ∧ q(x))$$ I'm not sure if I have correctly negated and simplified this proposition, so help would be greatly appreciated. 
February 18th, 2018, 09:36 AM  #2 
Senior Member Joined: Oct 2009 Posts: 628 Thanks: 190  
February 18th, 2018, 09:46 AM  #3 
Newbie Joined: Feb 2018 From: USA Posts: 2 Thanks: 0  
February 18th, 2018, 10:05 AM  #4 
Senior Member Joined: Sep 2015 From: USA Posts: 2,198 Thanks: 1153  

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negation, proposition, simplification 
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