fact: Definition UC_integral {R : ConstructiveReals} (f : CRcarrier R -> CRcarrier R) (a b : CRcarrier R) (cont_mod : forall eps:CRcarrier R, 0 < eps -> CRcarrier R) : UniformCont f cont_mod -> a <= b -> CRcarrier R := fun H H0 => let (i,_) := CR_complete R (fun last : nat => IntegralFiniteSum f (fun n => a + (b-a) * CR_of_Q R (Z.of_nat n # Pos.of_nat (S last))) (fun n => a + (b-a) * CR_of_Q R (Z.of_nat n # Pos.of_nat (S last))) last) (UC_integral_cauchy f a b cont_mod H H0) in i.
imports: List Permutation Orders Sorted Mergesort QArith Qpower ConstructiveReals ConstructiveAbs ConstructiveMinMax ConstructiveSum ConstructiveLimits ConstructiveRcomplete ConstructiveDiagonal ConstructiveUniformCont