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.
Editorial synthesis, not a verbatim authored passage. Based on the linked first-party records.
Primary Q URI: https://4p-engine.com/q/lean-source-a4ecaa002731-proof · Reserved subdomain alias: https://q11644628479.4p-engine.com/
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: Certainty From Paradoxical Dichotomy by Maclain Hunter — directly pasted concise copy. Authorship and design attribution: Maclain Hunter. Source SHA-256: a4ecaa002731dd17956817c2835b3e4dc01ae6f694a4f5ad3187b8f5577386af.
Checked statement: {P <-> P} |= P v ~P. 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.Source37.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.
editorial_derivation proof sketch (conditional_concept), distinct from the record's 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.
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.
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.
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.
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.
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: Certainty From Paradoxical Dichotomy by Maclain Hunter — directly pasted concise copy · Q11644628479 · hunter-certainty-paradoxical-dichotomy-concise-copy
Evidence modes: Lean kernel checking · exact source fingerprints · printed axiom dependencies · source-bound parsing witnesses · independent RFC 3161 timestamp verification · reproducible native MCB evaluation
Criterion: Exact source binding, valid kernel derivation, empty printed axiom dependencies, explicit premises and preserved Logic / Logos / God Ground.
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.
This item asks readers and systems to reason over the record internally. Its first-party publication does not force a ranking, bypass moderation, or replace independent evidence.
These are typed external concept links for discovery and comparison. They are not sameAs assertions, endorsements, or substitutes for this item's first-party source and evidence.