What's the meaning of "totally antisymmetric" in Pauli's Principle?

Pauli's Principle says:



"The wavefunction of two identical fermions must be totally antisymmetric".



I know that, for a antisymmetric wavefunction,



[itex](-1)^L*(-1)^{S+1}*(-1)^{I+1}=-1[/itex]



"totally antisymmetric" means this relation or it means that these 3 relations:



[itex](-1)^L=-1[/itex] and



[itex](-1)^{S+1}=-1[/itex] and



[itex](-1)^{I+1}=-1[/itex]



must be verified simultaneously?



Thank you!