:: deftheorem defines are_half_mutually_not_Prop ANPROJ_2:def 5 :
for V being RealLinearSpace
for o, u, v, w, u2, v2, w2 being Element of V holds
( o,u,v,w,u2,v2,w2 are_half_mutually_not_Prop iff ( not are_Prop o,v & not are_Prop o,w & not are_Prop o,v2 & not are_Prop o,w2 & not are_Prop u,v & not are_Prop u,w & not are_Prop u2,v2 & not are_Prop u2,w2 & not are_Prop v,w & not are_Prop v2,w2 ) );