Hi!
I have an argument and I have to prove the validity of all possible ways.
I have proved by logical implication, tautology, contradiction and contrapositive, but the problem is reduced to prove the hypothesis by logical equivalences and implications.
The reasoning is as follows:
[P->(L->M)]^L^M -> ¬P
I've tried to do the following:
[P-> (L-> M)] ^ L ^ M
<=> [(P ^ L) -> M] ^ L ^ M {Export}
<=> (¬ ¬ P v L v M) ^ L ^ M {Involvement and Morgan}
From here not continue, and I've tried other ways and always came to the same and not continue.
Could anyone help me out?
Thanks!
I have an argument and I have to prove the validity of all possible ways.
I have proved by logical implication, tautology, contradiction and contrapositive, but the problem is reduced to prove the hypothesis by logical equivalences and implications.
The reasoning is as follows:
[P->(L->M)]^L^M -> ¬P
I've tried to do the following:
[P-> (L-> M)] ^ L ^ M
<=> [(P ^ L) -> M] ^ L ^ M {Export}
<=> (¬ ¬ P v L v M) ^ L ^ M {Involvement and Morgan}
From here not continue, and I've tried other ways and always came to the same and not continue.
Could anyone help me out?
Thanks!