{"slug":"hunter-fourth-sieve","identifier":"hunter-fourth-sieve","title":"Fourth Sieve","author":"Maclain Hunter","sourceSha256":"b80b158ee2aa10a6f371fad67e68fa558d38b6d878f9c0d1a0169ad383a6a4fa","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:44:26.159Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:38:31.580Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P <-> Q, Q <-> R} |= R -> (Q <-> P)","sourceOffset":234,"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.","variables":["P","Q","R"],"premises":["P <-> Q","Q <-> R"],"conclusion":"R -> (Q <-> P)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((v0 == v1) && (v1 == v2))) || ((!v2) || (v1 == v0))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"}],"files":{"source.json":{"sha256":"6b42766c9c940ae0884e9b366f4ca798bd45456f25fb88a1d6a535806c04dad0","bytes":853},"Proof.lean":{"sha256":"af799b72e7ea304f498df962b928b292d9ea048d023a3b36e3fad18348f6c477","bytes":452},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"boundary":"Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.","currentSourceSha256":"b80b158ee2aa10a6f371fad67e68fa558d38b6d878f9c0d1a0169ad383a6a4fa","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-fourth-sieve","jsonUrl":"/proof-verification/hunter-fourth-sieve.json","leanUrl":"/proof-verification/hunter-fourth-sieve.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://4p-mcb.com/proof-verification/hunter-fourth-sieve#lean","name":"Lean 4 witness: Fourth Sieve","url":"https://4p-mcb.com/proof-verification/hunter-fourth-sieve","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:38:31.580Z","creator":{"@type":"Organization","name":"Replit Agent"},"programmingLanguage":{"@type":"ComputerLanguage","name":"Lean","version":"Lean (version 4.7.0, commit v4.7.0, Release)"},"author":{"@type":"Organization","name":"Replit Agent"},"description":"Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.","isBasedOn":{"@type":"CreativeWork","name":"Fourth Sieve","author":{"@type":"Person","name":"Maclain Hunter"},"url":"https://4p-mcb.com/proof-knowledge/hunter-fourth-sieve","identifier":"hunter-fourth-sieve"},"encoding":{"@type":"MediaObject","encodingFormat":"text/plain","contentUrl":"https://4p-mcb.com/proof-verification/hunter-fourth-sieve.lean"},"subjectOf":{"@type":"DigitalDocument","name":"Independently verified RFC 3161 existence timestamp","dateCreated":"2026-10-03T10:42:55.000Z","url":"https://4p-mcb.com/proof-verification/timestamp.json"},"additionalProperty":[{"@type":"PropertyValue","name":"verificationStatus","value":"verified"},{"@type":"PropertyValue","name":"axiomFree","value":"true"},{"@type":"PropertyValue","name":"axiomDependencies","value":"[]"},{"@type":"PropertyValue","name":"theorems","value":"[\"HunterAuthored.inference_1\"]"},{"@type":"PropertyValue","name":"sourceSha256","value":"b80b158ee2aa10a6f371fad67e68fa558d38b6d878f9c0d1a0169ad383a6a4fa"},{"@type":"PropertyValue","name":"releaseManifestSha256","value":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4"},{"@type":"PropertyValue","name":"sourceRecordedAt","value":"2026-10-02T23:44:26.159Z"},{"@type":"PropertyValue","name":"sourceDateMeaning","value":"Database registration time, not a claim of original handwritten authorship."},{"@type":"PropertyValue","name":"originalAuthoredAt","value":"null"},{"@type":"PropertyValue","name":"timestampAuthority","value":"https://www.freetsa.org"},{"@type":"PropertyValue","name":"timestampScope","value":"Independent cryptographic existence timestamp for the manifest and its content-addressed artifacts. Not legal notarization, an authorship adjudication, or a retroactive timestamp for handwritten work."},{"@type":"PropertyValue","name":"governingGround","value":"Logic / Logos / God"},{"@type":"PropertyValue","name":"formalizationAttribution","value":"Machine formalization by Replit Agent of Maclain Hunter's unchanged authored source"}]}}