fact: Definition IntegrationSpaceCompletion (IS : IntegrationSpace) : IntegrationSpace := Build_IntegrationSpace (FunctionRieszSpaceCompletion IS) (fun f fInt => Integral fInt) IntegralPlus (fun a f fInt => CReq_trans _ ((Integral fInt) * a) _ (IntegralScale f fInt a) (CRmult_comm _ _)) (Ione IS) (IntegrableL (Ione IS) (IoneL IS)) (CReq_trans _ (I IS (Ione IS) (IoneL IS)) _ (IntegralLstable _ _) (IoneInt IS)) IntegrableContinuous (fun f fL => pair (IntegralTruncateLimit f fL) (IntegralTruncateLimitZero f fL)).
imports: QArith ConstructiveReals ConstructiveAbs ConstructiveMinMax ConstructiveCauchyAbs ConstructiveSum ConstructivePower ConstructiveLimits ConstructiveDiagonal ConstructivePartialFunctions CMTbase CMTIntegrableFunctions