2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136452We provide a complete proof of the diagrammatic bounds on the lace-expansion coefficients for oriented percolation, which are used in [arXiv:math/0703455] to investigate critical behavior for long-range oriented percolation above 2\min{α,2} spatial dimensions.11 pages, supporting manuscript for [arXiv:math/0703455]ProbabilityMathematical Physics60K35, 82B27Diagrammatic bounds on the lace-expansion coefficients for oriented percolationtext