proposition: Lemma arg_minP: extremum_spec <=%O P F (arg_min i0 P F).
proof: Proof. by apply: extremumP => //; apply: le_trans. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)