document.write( "Question 1188428: Use natural deduction to prove the following logical truth:
\n" );
document.write( "// [F • (D ⊃ ∼ F)] ⊃ (D ⊃ A)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #838334 by RBryant(14)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Q:\r\n" ); document.write( "// [F • (D ⊃ ∼ F)] ⊃ (D ⊃ A) \r\n" ); document.write( "\r\n" ); document.write( "---------------------------------------------------\r\n" ); document.write( "1. [F • (D ⊃ ∼ F)] ⊃ (D ⊃ A) Assumption\r\n" ); document.write( "2. [F • (D ⊃ ∼ F)] Assumption\r\n" ); document.write( "3. D Assumption\r\n" ); document.write( "4. F 2 & Intro \r\n" ); document.write( "5. D ⊃ ~F 2 & Intro\r\n" ); document.write( "6. ~F 3,5 ⊃ Elim \r\n" ); document.write( "7. F • ~F 4,6 & Intro\r\n" ); document.write( "8. A 7 Falsum Intro\r\n" ); document.write( "9. D ⊃ A 3-8 ⊃ Intro\r\n" ); document.write( "10. [F • (D ⊃ ∼ F)] ⊃ (D ⊃ A) 2-9 ⊃ Intro\r\n" ); document.write( " QED\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |