Proof of Proof’s Source in Logic

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

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

Proof of Proof’s Source in Logic: Definitions: Logic: the Method of Reasoning and Realization; the Order inherent in Proper Order and self-consistency. God: the Origin and Ruler of the Cosmos; the Logos (Pure Reason - Universal Order and Logic) in rational theism and classical theology. P: Proof exists. Q: Assume P is not true, that leads to logical contradiction and wouldn’t be possible to prove (then). R: Even if “nothing” (pure illogicality) were “the Source of Proof”, the Source of Proof would still be and have to be “something”. R: The Source of Proof must be logically coherent or it is logically incoherent. An incoherent Source of Proof would be a logical contradiction. S: The Source of Proof is Logic, and is fully coherent, as the alternative that the Source of Proof is “not Logic” and “not coherent/one with Logic” is illogical and untenable. T: The Source of Proof is the Source of Rational Support and Rationality (Reality) in/underlying the Universe, as to assume the opposite or any true (substantive) alternative leads to logical contradiction. U: All proof is entailed by and proves the existence of the Source of Proof (Logic - the First Cause). To have proof in hand without the Source of Proof objectively extant in and encompassing the (rationally supported) Cosmos would be a logical contradiction. This proof itself could not exist without the Source of Proof and is therefore empirical evidence of the Logic encompassing Reality (the First Cause). V: The Source of Reality (the Origin of the Universe - God) is and must be coherent with Rational Law (Logic - Reason - Identity) to establish coherence at/as the Universal Foundation (First Cause), and in order for the rest of the Natural Order (Logic) to be logical and logically founded. {P, P -> Q, Q -> R, R -> S, S -> T, T -> U, U -> V} |= (((P & Q) & (R & S) & T) & U) & V Conclusion: (((P & Q) & (R & S) & T) & U) & V: Logic is the Source of Proof, the First Cause, and God, and all proof immanently and intrinsically proves that, even if not every proof explicitly proves such things. That is true of all proof, including this proof itself. This proof is empirical evidence (and observable/observed proof) that the Logic of Reality (also understood as the First Cause) surely exists. For this proof to exist without the First Cause of Logic (the Foundation of Logic and Reality - God) would be a logical contradiction. Logic and language demand God be the Foundation of Reality (by definition and to satisfy and be coherent with Logic), and that God and Logic must be coherent for both to be properly grounded and coherent.

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.