The relationships between n , T , P , V for a gas?
All statements like "P is inversely proportional to V" should be qualified with "other variables being equal". With this qualification you can read off all the proportionalities from $pV=NRT$.  Any two variables on the same side are inversely proportional; any two on opposite sides are directly proportional.  So $p$ is directly proportional to $T$.  Your other assertions are correct.