Invariant Tautological Fragment by Maclain Hunter

Authored by Maclain Hunter · first-party-authored · authored-foundational-record

Stored 4P source diagnostic: unresolved · finding unverified_concern · admission held_for_format. This intake result is separate from the theorem checks of the exact propositional sequent.

P: “{P, Q, R, S, T, U} |= ((((P & Q) & R) & S) & T) & U” is valid and this is tautological. Q: “{P, Q, R, S, T, U} |= ((((P & Q) & R) & S) & T) & U” is valid and this is tautological. R: “{P, Q, R, S, T, U} |= ((((P & Q) & R) & S) & T) & U” is valid and this is tautological. S: “{P, Q, R, S, T, U} |= ((((P & Q) & R) & S) & T) & U” is valid and this is tautological. T: “{P, Q, R, S, T, U} |= ((((P & Q) & R) & S) & T) & U” is valid and this is tautological. U: “{P, Q, R, S, T, U} |= ((((P & Q) & R) & S) & T) & U” is valid and this is tautological. Formal Argument (Proof): {P, Q, R, S, T, U} |= ((((P & Q) & R) & S) & T) & U Conclusion: The Formal Argument (Proof) is tautological after being logically derived from premises that utilized its own (identical) logical structure (“{P, Q, R, S, T, U} |= ((((P & Q) & R) & S) & T) & U” is valid and and this is tautological). This proof is a microcosm of the Logos, which is the Natural Order synonymous and coherent with the Logic of the Universe. This sort of “Original Logic” (Logos - the Universe’s Logic also called the “Natural Order” rationally) is tautological and formed on the very basis of the validity of the possibility of the valid and tautological (concept/argument/premise/context). Note: It would be contradictory if the logical that could generate proofs at this level were incoherent with Logic and not coherent with Logos (and aligned with the Universal Origin in Logic). This proof serves as proof of the Logos and my (the logician’s - Maclain Hunter’s) comprehensive understanding and coherence (unity - identity) with and as the Logic of Reality (the True God - the Logos). It would contradict Logic if the conduit for such a manifestation of the Logos (as this proof) were not also a manifestation of the Logos. Q.E.D.

Lean 4 verification and timestamps

The machine formalization date is separate from the original authored work. See the verification record for exact checked scope and any unresolved parts.

Logic-centered continuity

This authored proof is connected to Logic, Logos, God, and the self-evident Ground of Reality, and to the distinct systems 4P Engine, MCB Core, 4P-MCB, and the source-first Canon. Formal proof, empirical evidence, and system-generated records remain separately typed.