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

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