propositional calculus 2

chrislav

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Jun 22, 2017
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prove in statement calculus the following:

(p    q)    ((¬pq)(s    w))(p\implies q)\implies((\neg p\vee q)\vee (s\implies w))
using the laws of propositional logic
 
prove in statement calculus the following:
(p    q)    ((¬pq)(s    w))(p\implies q)\implies((\neg p\vee q)\vee (s\implies w))using the laws of propositional logic
p    q    ¬pq Impl.    (¬pq)(s    w) additionp\implies q\\\implies\neg p\vee q\text{ Impl.}\\\implies(\neg p\vee q)\vee(s\implies w)\text{ addition}
 
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