SOLUTION: Hello, may I please get some help on these proofs? Thank you in advance! :) https://ibb.co/HhS7QHM

Question 1207464: Hello, may I please get some help on these proofs? Thank you in advance! :)

https://ibb.co/HhS7QHM

Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!

ALT symbols don't work very well on here, so instead of
a horseshoe, I will use an arrow like this -> instead.

1. (Q -> ~J) -> (M -> ~D)
2. Q -> M
3. M -> ~J    /Q -> ~D

4. Q -> ~J       2,3 Hypothetical Syllogism (HS)
5. M -> ~D       1,4 Modus Ponens (MP)
6. Q -> ~D       2,5 Hypothetical Syllogism (HS)

----------------------------------

1. T -> (Q & F)   
2. T & C      /Q v O

3. T             2,  Simplification (Simp)
4. Q & F         1,3 Modus Ponens (MP)
5. Q             4,  Simplification (Simp)
6. Q v O         5,  Addition  

Edwin

RELATED QUESTIONS
Please I need help on these tough questions for MATH https://ibb.co/d7s3Cfw (answered by ikleyn)

Please I need help on these tough questions for MATH... (answered by ikleyn)

Could you please help me with this problem on Probability? Thank you! (answered by Theo)