What question did this study set out to answer?

The aim is to prove the consistency among the core components of the PFUSR framework.

May 11, 2026Open Access

Proof of Consistency Among Model-I, Model-II, the Universal Inviolable Formula, and the Universal Constitution

Key Points

The aim is to prove the consistency among the core components of the PFUSR framework.
Performed topological and axiomatic analysis on Model-I, Model-II, the Universal Inviolable Formula, and the Universal Constitution.
Established fundamental axiom of the unit-one as the basis for analysis.
Demonstrated all components operate in perfect logical harmony.
Eliminated potential internal contradictions in the PFUSR framework.
Confirmed the PFUSR framework as a mathematically sound and self-contained system.

Abstract

This paper provides a formal proof of the global consistency between all core components of the PFUSR framework: Model-I, Model-II, the Universal Inviolable Formula, and the Universal Constitution. Through topological and axiomatic analysis, it demonstrates that all components operate in perfect logical harmony under the fundamental axiom of the unit-one. This proof eliminates potential internal contradictions and establishes the PFUSR as a mathematically sound, self-contained system.

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