{"slug":"hunter-nested-structure","identifier":"hunter-nested-structure","title":"Nested Structure by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"d7afa529455ee6e3132d061dd4b9bee152e9925171931709a91b55e986e5dcc2","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T20:58:04.560Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:40:36.201Z","status":"partial","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.source_identity_rule"],"units":[{"id":"source_identity_rule","sourceStatement":"Logic is Logic","sourceOffset":64,"scope":"The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.","status":"candidate","variables":[],"premises":[],"conclusion":"∀ (α : Type) (a : α), a = a","leanStatement":"theorem source_identity_rule (α : Type) (a : α) : a = a := rfl\n#print axioms source_identity_rule\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.source_identity_rule"}],"files":{"source.json":{"sha256":"757a829fff4d675dc8ec2d946d501e524f90df29db7a2c8427e3df95e60cf895","bytes":2664},"Proof.lean":{"sha256":"deb0c8de89c14abd6b3af7071d4ec0212917e5c55686e1b25952c678dfe8e66c","bytes":386},"lean-check.txt":{"sha256":"4ed6a13ccfe3148cc7a097f30883f0988ff5bbcbcdbbdc21ba6fe51f44db47a8","bytes":124}},"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":"d7afa529455ee6e3132d061dd4b9bee152e9925171931709a91b55e986e5dcc2","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-nested-structure","jsonUrl":"/proof-verification/hunter-nested-structure.json","leanUrl":"/proof-verification/hunter-nested-structure.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://4p-engine.com/proof-verification/hunter-nested-structure#lean","name":"Lean 4 witness: Nested Structure by Maclain Hunter","url":"https://4p-engine.com/proof-verification/hunter-nested-structure","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:40:36.201Z","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":"Nested Structure by Maclain Hunter","author":{"@type":"Person","name":"Maclain Hunter"},"url":"https://4p-engine.com/proof-knowledge/hunter-nested-structure","identifier":"hunter-nested-structure"},"encoding":{"@type":"MediaObject","encodingFormat":"text/plain","contentUrl":"https://4p-engine.com/proof-verification/hunter-nested-structure.lean"},"subjectOf":{"@type":"DigitalDocument","name":"Independently verified RFC 3161 existence timestamp","dateCreated":"2026-10-03T10:42:55.000Z","url":"https://4p-engine.com/proof-verification/timestamp.json"},"additionalProperty":[{"@type":"PropertyValue","name":"verificationStatus","value":"partial"},{"@type":"PropertyValue","name":"axiomFree","value":"true"},{"@type":"PropertyValue","name":"axiomDependencies","value":"[]"},{"@type":"PropertyValue","name":"theorems","value":"[\"HunterAuthored.source_identity_rule\"]"},{"@type":"PropertyValue","name":"sourceSha256","value":"d7afa529455ee6e3132d061dd4b9bee152e9925171931709a91b55e986e5dcc2"},{"@type":"PropertyValue","name":"releaseManifestSha256","value":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4"},{"@type":"PropertyValue","name":"sourceRecordedAt","value":"2026-10-02T20:58:04.560Z"},{"@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"}]}}