proposition: Lemma min_minxK x y : min x (min x y) = min x y.
proof: Proof. by rewrite !(fun_if, if_arg) ltxx/=; case: comparableP. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)