Section NatConst.
Variables (I : finType) (A : pred I).
Arguments bigmax_eq_arg [I] i0 [P F].
Arguments biglcmn_sup [I] i0 [P F m].

Lemma biggcdn_inf (I : finType) i0 (P : pred I) F m :
P i0 -> F i0 %| m -> \big[gcdn/0]_(i | P i) F i %| m.