TM54 False Swipe can be bought at Veilstone Dept Store on Floor 3 at £2000.
In Diamond and Pearl.
And in Soul Silver and Heart Gold, it is in the Goldenrod Department Store on Floor 5 at the same cost.
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After you've seen 25 Pokemon or more, talk to Professor Juniper and she will give you the TM for false swipe
Once you get to Veilstone city, there is a TM floor(floor 3) then you go and ask the people at the desks and one of them will give you false swipe.
false swipe is learned by the following Pokemon upon levelling:scythernincandazangoosefarfetch'dgalladegrovylecubonehowever, false swipe is also a TM. this makes the move available to other Pokemon as well (kriketune, weavile, parasect, kingler, anorith, etc).
False Swipe was not available as a TM until Generation IV. However, Marowak and Sceptile can learn that move.
You can get TM54 False Swipe at Veilstone Dept Store on Floor 3 at £2000. Hope I helped!!!