Coq Verification Supplement for "A Finite-Cell Structural Reduction of Integer Factorization via the Prime Structural Map and the Matsuura Hierarchy (MSHD–HSTG)"

This deposit provides the Coq verification supplement for the manuscript:

“A Finite-Cell Structural Reduction of Integer Factorization via
the Prime Structural Map and the Matsuura Hierarchy (MSHD–HSTG)”
by Yoshihito Matsuura (2025).

The supplement contains 12 Coq source files implementing:

• the PSM structural profiles (height, lineage),

• the finite-cell reduction scheme for integer factorization,

• small and large numerical examples,

• and a minimal _CoqProject and README.

These files enable independent verification of the structural properties introduced in the paper.
All proofs and computations are written to be lightweight, transparent, and reproducible.

This material is intended as supplementary verification data for journal submission
(e.g., IMRN) and may be cited via the assigned DOI.