# Thread: if then statement. truth table.

1. ## if then statement. truth table.

something like: if r^p -> q

in a truth table where, r is false, and p then q is false.

then the statement r^p -> q is true?

is this because of the if then statement only?

so then p^q where p and q are both false would make p^q a false statement correct?

thanks.

2. Originally Posted by rcmango
something like: if r^p -> q

in a truth table where, r is false, and p then q is false.

then the statement r^p -> q is true?

is this because of the if then statement only?

so then p^q where p and q are both false would make p^q a false statement correct?

thanks.
A false premise implies anything, so $a \Rightarrow b$ is always true when $a$ is false, whatever $b$ is .

RonL