Jahn-teller theorem and the CH_4 molecule

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is there any contradiction between the two?
 
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IIRC, Jahn-Teller distortion applies only to complexes formed from d-orbitals, not the s- and p-orbitals used to form the bonds in methane.
 
Jahn-Teller distortion happens in any system where the ground state is degenerate and that degeneracy can be broken by lowering the symmetry. I'm not so familiar with CH_4, but from what I remember from general chemistry, I don't see that the ground state would be degenerate.
 

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