Q, then you may infer
Q. Select the givens and give the Modus Ponens command, and Proof
Designer will make the inference.
If you have givens of the forms P
and PQ, then you may infer
Q. Select the givens and give the Modus Ponens command, and Proof
Designer will make the inference.
You can also use this command to work backwards from your goal. If you
have a given of the form PQ
and your goal is Q, then you could complete the proof by first
proving P and then using modus ponens to infer Q from
P and PQ. If you
want to do this, select the given PQ and the goal Q and give the Modus Ponens
command. Proof Designer will say that you now have to prove P, and
it will say that once P has been proven, it can be used, together
with PQ, to infer Q.