Technical Appendix for the General Theory of Cognitive Structuring: Notation, Assumptions, and Formal Dependency Structure

This document provides a formal traceability appendix for the General Theory of Cognitive Structuring. Its purpose is to make explicit the internal relations among notation, assumptions, definitions, operators, constructions, and result-level statements across the series. The appendix includes a notation registry, an assumption registry, a definition-and-operator dependency table, a proposition/theorem dependency table, and cross-paper consistency notes for recurring formal elements. It is intended to separate assumptions from definitions, definitions from derived results, and architectural claims from theorem-local conditions. This appendix is not a full proof compendium. Its function is narrower: to provide a compact formal support layer for external readers who need to reconstruct the logical and symbolic organization of the theory without relying on implicit continuity across papers.