for B being Boolean Lattice st ( for v1, v0 being Element of (BA2TBAA B) holds Tern (v0,v0,v1) = v0 ) & ( for v2, v1, v0 being Element of (BA2TBAA B) holds Tern (v0,v1,v2) = Tern (v2,v0,v1) ) & ( for v2, v1, v0 being Element of (BA2TBAA B) holds Tern (v0,v1,v2) = Tern (v0,v2,v1) ) & ( for v3, v2, v1, v0 being Element of (BA2TBAA B) holds Tern ((Tern (v0,v1,v2)),v1,v3) = Tern (v0,v1,(Tern (v2,v1,v3))) ) holds
for v1, v2, v3, v4, v5 being Element of (BA2TBAA B) holds Tern ((Tern (v1,v2,v3)),v4,(Tern (v1,v2,v5))) = Tern (v1,v2,(Tern (v3,v4,v5)))