document.write( "Question 251757: What is the proof for
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document.write( "((P→Q)→Q)→(P∨Q) \n" );
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Algebra.Com's Answer #183979 by drk(1908)![]() ![]() ![]() You can put this solution on YOUR website! To solve this you may need a tautology table, or memorize it.\r \n" ); document.write( "\n" ); document.write( "P big space Q big space P->Q big space PvQ \n" ); document.write( "T big space T big space T big space T \n" ); document.write( "T big space F big space F big space T \n" ); document.write( "F big space T big space T big space T \n" ); document.write( "F big space F big space T big space F\r \n" ); document.write( "\n" ); document.write( "Now, P->Q {T, F, T, T}\r \n" ); document.write( "\n" ); document.write( "(P->Q) -> Q {T, T, T, F}\r \n" ); document.write( "\n" ); document.write( "(P->Q) -> Q -> (PvQ) { T, T, T, T}\r \n" ); document.write( "\n" ); document.write( "A bit tough to follow I think, but there it is. \n" ); document.write( " |