Definition INR {R : ConstructiveReals} (n : nat) : CRcarrier R
:= CR_of_Q R (Z.of_nat n # 1).

Lemma selectOneInSum : forall {R : ConstructiveReals} (u : nat -> CRcarrier R) (n i : nat),
le i n
-> (forall k:nat, 0 <= u k)
-> u i <= CRsum u n.