Diagrammatic bounds on the lace-expansion coefficients for oriented percolation

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We 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]

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