Question

prove \[\neg p \vee [(\neg p \vee q) \wedge r] \equiv T\]
i'm stuck

Answer 1

no truth tables by the way

Answer 2

What does T mean?

Answer 3

true/tautology

Answer 4

Maybe you can't prove it because... it's not true?

Answer 5

it is...

Answer 6

and that's why i'm stuck

Answer 7

You are actually tasked to prove it?

Answer 8

not tasked...volunteered....

Answer 9

And you're forbidden from using Truth Tables?

Answer 10

not forbidden...avoiding...

Answer 11

or....it could be i was just wrong....this just came from a solution i did...if my solution is wrong...then this could be wrong....

Answer 12

maybe it's time i learn truth tabling....the hard way....

Answer 13

it is not a tautology. if you let p:T and r:F then the whole proposition is false.

Answer 14

so my solution was just wrong?

Answer 15

yes