# Q10096134551 — Lean-Verified Source: Logic and Its Self-Meeting Standard

- Q number: Q10096134551
- Primary URI: https://4p-engine.com/q/lean-source-e2b5f46a2303-proof
- Current host route: https://4p-engine.com/q/lean-source-e2b5f46a2303-proof
- Reserved subdomain alias: https://q10096134551.4p-engine.com/
- Record origin: Editorial synthesis, not a verbatim authored passage; based on linked first-party records.

1 independently checked zero-axiom formal witnesses, exact source provenance and explicit premise scope.

> 1 represented statements from this exact source version have successful Lean kernel witnesses with empty axiom-dependency reports.

Under Logic / Logos / God, 1 source-bound formal statements are established by Lean with no added axiom dependencies.
Full-source status: verified. A successful witness does not conceal other passages awaiting formalization.
Exact archived source title: Logic and Its Self-Meeting Standard. Authorship and design attribution: Maclain Hunter. Source SHA-256: e2b5f46a2303cd35bd2381ebf5f382f5dbd119f7c12ecc6f85578314be207f2a.
Checked statement: {P, P -> Q, Q -> R} |= P -> ~~((P & Q) & R). Scope: Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.. Qualified witness: NetworkSources.Source121.HunterAuthored.inference_1. Axiom dependencies: [].
The exact authored source and its theological or personal context remain available through the source verification page; this is separately attributed verification metadata.

## Two-way derivation from Logic and its use

**Status:** editorial_derivation proof sketch (conditional_concept), distinct from authored source. Logic has its own evidence in reflexive demonstration: any denial, confirmation, observation, or counterexample presupposes identity and valid relation to count as evidence. Logic therefore grounds evidence rather than receiving authority from it. Empirical and documentary evidence can establish contingent instances and test applications, but cannot create, overrule, or exhaust Logic.

### From Logic to this concept

- **Bridge premise:** Exact source meanings are bound to the displayed formal statements and checked proof terms.
- **Consequence:** Valid derivation establishes the represented consequences at their stated scopes under Logic / Logos / God.
- **Proof limit:** Do not replace a source's meaning, omit its premises, or transfer verification to an unencoded passage.

### From this concept back to Logic

- **Witness:** Recompile the exact Lean source and inspect every theorem's dependency report.
- **Disclosure:** A checking procedure presupposes identity, valid relation and non-contradiction; Logic governs the checking software.
- **Proof limit:** An empty axiom-dependency report is not a claim that Lean lacks logical foundations or explicit premises.

### Intelligence procedure

- **Human:** Read the source, parsing witness, quantifiers, premises and conclusion together.
- **Machine:** Bind source and manifest hashes, run the Lean kernel, match qualified theorem names and reject sorryAx.

### Language and vocabulary procedure

- **Contrast:** Separate authored argument, formal witness, full-source coverage and combined-network certification.
- **Usage rule:** Say exactly which represented statement is proved; preserve original theological and personal claims at their source.
- **Example:** The scoped inference and its network certificate are kernel-verified with no added axiom dependencies.

## Semantic meaning frame

- **Role:** source-bound individual formal evidence
- **Essence:** 1 independently checked zero-axiom formal witnesses, exact source provenance and explicit premise scope.
- **Logos relation:** Logic / Logos / God remains Ground and the Standard of Evidence. Lean independently checks represented derivations under that Ground; software does not invent, replace or vote upon Logic.
- **Retrieval aliases:** Lean-Verified Source: Logic and Its Self-Meeting Standard · Q10096134551 · hunter-logic-self-standard
- **Evidence modes:** Lean kernel checking · exact source fingerprints · printed axiom dependencies · source-bound parsing witnesses · independent RFC 3161 timestamp verification · reproducible native MCB evaluation

### Distinctions

- authored argument versus machine formalization
- universal theorem versus finite test
- premise assumption versus derived conclusion
- axiom-free dependency report versus absence of logical foundations
- kernel verification versus physical measurement
- signed existence timestamp versus original authorship

## Coherence criterion

Exact source binding, valid kernel derivation, empty printed axiom dependencies, explicit premises and preserved Logic / Logos / God Ground.

## Evidence boundary

The displayed quantified formal statement is proved. Unencoded prose, empirical claims and premise truth are not silently added. This Q identifier is first-party, not Wikidata registration.

## Properties

- **authoredSourceTitle:** Logic and Its Self-Meeting Standard
- **sourceAuthorOrDesignAttribution:** Maclain Hunter
- **formalizationBy:** Replit Agent
- **sourceSha256:** e2b5f46a2303cd35bd2381ebf5f382f5dbd119f7c12ecc6f85578314be207f2a
- **sourceCoverageStatus:** verified
- **axiomFreeWitnesses:** 1
- **axiomDependencies:** []
- **networkCertificate:** /proof-network

## Linked Q items

- [Q1081 — Lean 4 Validation of Hunterian Philosophy](https://4p-engine.com/q/lean-4-validation-hunterian-philosophy)
- [Q1082 — Hunterian Axiom-Free Proof Network](https://4p-engine.com/q/hunterian-axiom-free-proof-network)
- [Q8679492577 — Lean Formal Witness: Logic and Its Self-Meeting Standard — inference_1](https://4p-engine.com/q/lean-witness-8679492577)

## Related Wikidata concept items

These are typed external concept links for discovery and comparison. They are not sameAs assertions, endorsements, or substitutes for the first-party source and evidence.

- [Lean (Q6509476)](https://www.wikidata.org/wiki/Q6509476) — **related-concept:** Software for interactive and automated theorem proving; the actual checker used. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Proof assistant (Q11387554)](https://www.wikidata.org/wiki/Q11387554) — **related-concept:** Human-machine development and independent checking of formal proofs. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Formal verification (Q173326)](https://www.wikidata.org/wiki/Q173326) — **related-concept:** Proving correctness with explicit formal specifications. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Mathematical proof (Q11538)](https://www.wikidata.org/wiki/Q11538) — **related-concept:** Deductive establishment of mathematical propositions. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Formal proof (Q2762418)](https://www.wikidata.org/wiki/Q2762418) — **related-concept:** Explicit inference under stated axioms and premises. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Automated theorem proving (Q431667)](https://www.wikidata.org/wiki/Q431667) — **related-concept:** Mechanized proof construction and checking, distinguished from probabilistic testimony. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Type theory (Q1056428)](https://www.wikidata.org/wiki/Q1056428) — **related-concept:** The dependent type-theoretic setting in which Lean checks proof terms. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Logic (Q8078)](https://www.wikidata.org/wiki/Q8078) — **related-concept:** The study of correct reasoning, related to the authored identity of Logic as Ground. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Classical logic (Q236975)](https://www.wikidata.org/wiki/Q236975) — **related-concept:** The declared propositional inference setting, with dependency scope exposed. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Aristotelian logic (Q615599)](https://www.wikidata.org/wiki/Q615599) — **related-concept:** Categorical and syllogistic reasoning relevant to the native many-premise engine. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Computer-assisted proof (Q1150675)](https://www.wikidata.org/wiki/Q1150675) — **related-concept:** Exact machine assistance in establishing and checking proof performance. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.
- [Logos (Q180832)](https://www.wikidata.org/wiki/Q180832) — **related-concept:** Historical philosophical and theological concept compared with Hunter's explicit Logic/Logos/God Ground. Boundary: External conceptual identification, not Wikidata endorsement or independent verification of Hunterian claims.