Imported Infrastructure — Strip and Bound Arithmetic for Analytic Function Theory

This paper presents a collection of verified arithmetic theorems that provide foundational bookkeeping for analytic function theory within vertical strips of the complex plane. The theorems establish elementary but essential properties concerning strip endpoints, width positivity, bound composition, sum positivity, and telescoping identities. These results, while individually straightforward, form the arithmetic infrastructure required by more sophisticated arguments in the Selberg class, Gamma function theory, and complex analysis more broadly. All theorems are formally verified in the Platonic proof system with automated tactics (linarith, nlinarith, ring), demonstrating that even "obvious" arithmetic facts benefit from machine-checked verification to eliminate potential gaps in larger proof chains.