than from the subcontractor with whom the ma-terialman dealt directly.... While the provisions of the notice requirement should be construed liberally, it is crucial that the notice state a claim directly against the general contractor, that the claim be stated with some specificity of amount due, and that the claim specify the subcontractor allegedly in arrears.”) (citations omitted); United States for Use and Benefit of Charles R. Joyce & Son, Inc. v. F.A. Baehner, Inc., 326 F.2d 556, 558 (2nd Cir.1964) (“[T]he writing must inform the prime contractor, expressly or by implication, that the supplier is looking to the contractor for payment of the subcontractor’s bill.”) (quotation and citations omitted); cf. McWaters & Bartlett v. United States, 272 F.2d 291, 295 (10th Cir.1959) (<HOLDING>). In this case, the state court complaint
holding in part that the liability insurance company of the subcontractor which had named the general contractor as an additional insured on the subcontractors policy was liable to reimburse the general contractor for a settlement payment the general contractor had made to the subcontractors employee holding that an agreement which required the submission of an affidavit of payment to subcontractors or lien waivers before payment was made by the general contractor was for the direct benefit of the subcontractors holding that it was not essential to an action by a supplier on a payment bond under the miller act that a demand be made on the general contractor for payment  although there was evidence in the case from which it could be found that the materialman looked to the general contractor for payment  since the statute does not require a demand for payment but merely requires written notice of the claim holding that a paywhenpaid clause does not preclude a subcontractors recovery under the miller act payment bond because the federal legislation conditions payment of the subcontractor not on payment by the government to the contractor but rather on the passage of time from completion of the work or provision of materials holding that a clause making payment by the owner an express condition precedent to payment by the general contractor to the subcontractor was enforceable