Question

Discrete Math: Prove the following argument is valid.
If Ralph doesn't do his homework or he
doesn't feel sick, then he will go to the party and he will stay up late. If he goes to
the party, he will eat too much. He didn't eat too much. So Ralph did his homework.
(Use h for Ralph does his homework., s for Ralph feels sick., p for Ralph goes to the
party., l for Ralph stays up late., and e for Ralph eats too much..)

Here's the logic...
(~h v ~s) --> (p ^ L)
p-->e
~e