document.write( "Question 251757: What is the proof for
\n" ); document.write( "((P→Q)→Q)→(P∨Q)
\n" ); document.write( "

Algebra.Com's Answer #183979 by drk(1908)\"\" \"About 
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( "
\n" );