proposition: Lemma subset_bigmin [x0] [I : finType] [A A' P : {pred I}] (F : I -> T) : A' \subset A -> \big[min/x0]_(i in A | P i) F i <= \big[min/x0]_(i in A' | P i) F i.
proof: Proof. exact: (subset_le_big ge_refl). Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)