proposition: Lemma bet_inner_transitivity : bet_inner_transitivityP Point bet'.
proof: Proof. move=> a b c d /andP[H10 H11] /andP[H20 H21]; rewrite /bet'; apply /andP; split; [move : H10 H20|move: H11 H21]; apply bet_inner_transitivity. Qed.
imports: mathcomp.ssreflect.ssreflect mathcomp(ssrbool ssrfun ssrnat eqtype choice seq) mathcomp(fintype finset finfun bigop order) mathcomp(ssralg ssrnum path generic_quotient matrix mxalgebra) mathcomp(zmodp) GeoCoq.Meta_theory.Models.POF_to_Tarski GeoCoq.Meta_theory.Counter_models.Planar.independence