Where can you find the TM False Swipe in Pokemon Firered and Leafgreen?

There is no TM False Swipe it is a move tutor that is hidden somwhere in the game. -- Scyther learns false swipe at level 16 and Marowak learns it at level 39. If they are past those levels go to Two Island and you can get the move tutor to teach the move to them. You need mushrooms to pay the tutor. Paras and Parasects are often holding mushrooms.