(*****************************************************************************)
(*                                                                           *)
(*                         Some plucker relations                            *)
(*                                                                           *)
(*****************************************************************************)

Lemma split3b_v1 (a b c d e f : point) :
('[a,b,c] * '[d,e,f] =
'[a,d,e] * '[b,c,f] + (-(1)) * '[a,d,f] * '[b,c,e] + '[a,e,f] * '[b,c,d])%f.