It's not apparent how these are logically equivalent, could someone please elaborate?
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the second statement should be written as
this follows from the first statement using distributive law Boolean algebra (logic) - Wikipedia, the free encyclopedia
But wouldn't that distribute as which isn't the same as the prior step
Last edited by Jskid; Oct 3rd 2011 at 09:23 PM.
Reason: forgot \neg
yes you are right. you have further used the distributive law.
further you can see that
are tautologies. so we can further simplify as
I couldn't see that b/c I was trying to think of how to apply the distributive law differently. I never occured to me that I needed to do another step (i.e. remove tautologies)
do you understand now ?
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