proposition: Lemma dist_cong' a b c d : dist a b == dist c d = cong' a b c d.
proof: Proof. rewrite /dist/dist_v /cong'/cong_v invf_eq. by rewrite !invf_div. by rewrite expr2 ?mulf_neq0 ?invr_neq0 ?mulf_neq0 -?/(omd _ _) ?omd_eq0. 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 algC) mathcomp(zmodp) GeoCoq.Meta_theory.Models.POF_to_Tarski GeoCoq.Axioms.gupta_inspired_variant_axioms GeoCoq.Meta_theory.Models.tarski_to_gupta_inspired GeoCoq.Tarski_dev.Ch06_out_lines GeoCoq.Tarski_dev.Ch11_angles GeoCoq.Meta_theory.Parallel_postulates.parallel_postulates GeoCoq.Meta_theory.Counter_models.Planar.independence