in Mathematical Logic edited by
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Is the simplification that I have encircled, done right? because according to negation law (r ¬ r) ≡  T.

in Mathematical Logic edited by
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Distributive law has been used here
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$\text{This is $\textbf{Distributive Property}$}:$

         ${P\wedge (Q \vee R )}  \Leftrightarrow  (P \wedge Q) \vee (P \wedge R)$

        ${P\vee (Q \wedge R )}  \Leftrightarrow  (P \vee Q) \wedge (P \vee R)$

 

$\textbf{Good Read}:$ Distributive property.

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right! i could not see it immediately.
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