# Question 8940: Synthetic Receipt Metadata Completeness, Not Proof Acceptance [Return to catalogue page 45](https://ocme.evemisslab.com/en/questions/page/45/) [← Question derivation index](https://ocme.evemisslab.com/en/questions/) · [Original question batch](https://ocme.evemisslab.com/en/practice/batch-20261013-advance-20261018-r07-lean-formal-statement-foundations/#q-20261013-advance-20261018-r07-lean-formal-statement-0090) This teaching derivation has second-context AI mathematical and bilingual semantic review, limited to the model and assumptions stated in this question. It has no human review or new Lean proof and does not promote the original question or MKO to Canonical truth. R0016-08940 · q-20261013-advance-20261018-r07-lean-formal-statement-0090 ## Original question and givens These are synthetic pipeline receipts, not actual Lean elaboration or kernel checks. The Chinese source pulse did not run Lean builds for these records. A formal statement and a checked proof are distinct states. Supplied metadata={"lean_version":"4.34.0","imports":["Mathlib","Module14"],"imports_declared":true,"environment_id":"","context_id":"ctx-14","source_sha256":"000000000000000000000000000000000000000000000000000000000000000e","core_type":"Prop","elaboration_status":"success"}. Give (version or missing, sorted distinct imports, imports declared?, environment or missing, context or missing, lexical lowercase 64-hex source-hash shape?, core type or missing, status or missing, missing-field reasons in protocol order, metadata complete?). Imports may be explicitly empty. Hash shape is not a verified source digest. - G001 — These are synthetic pipeline receipts, not actual Lean elaboration or kernel checks. The Chinese source pulse did not run Lean builds for these records. A formal statement and a checked proof are distinct states. Supplied metadata={"lean_version":"4.34.0","imports":["Mathlib","Module14"],"imports_declared":true,"environment_id":"","context_id":"ctx-14","source_sha256":"000000000000000000000000000000000000000000000000000000000000000e","core_type":"Prop","elaboration_status":"success"}. Give (version or missing, sorted distinct imports, imports declared?, environment or missing, context or missing, lexical lowercase 64-hex source-hash shape?, core type or missing, status or missing, missing-field reasons in protocol order, metadata complete?). Imports may be explicitly empty. Hash shape is not a verified source digest. ## Definition and scope Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate. - [mko-lean-formal-statement](https://ocme.evemisslab.com/en/mko/mko-lean-formal-statement/) ## Step-by-step derivation S001 · impliesBefore all pipeline flags,names and receipt fields are synthetic input data After no actual Lean run,digest verification,name resolution or kernel acceptance is claimed Conditions: none These are supplied synthetic receipts,not a Lean run.String fields,coherent flags or complete metadata do not establish actual elaboration,file-digest verification or kernel acceptance.The teaching candidate remains not formalized. Step identifiers and dependenciesRule: synthetic_formal_receipt_not_execution · Uses: G001 S002 · impliesBefore raw imports=[Mathlib, Module14];imports declared=Yes After English-locale distinct imports=[Mathlib, Module14] Conditions: none Sort and deduplicate imports in the English locale.An explicitly empty list is allowed;declaration is a separate flag.No imports are actually executed. Step identifiers and dependenciesRule: synthetic_import_inventory_not_actual_imports · Uses: G001, S001 S003 · impliesBefore synthetic field=lean_version;supplied value=4.34.0 After lexical/presence condition=Yes Conditions: none Apply the protocol's presence,flag,64-lowercase-hex-shape and exact Prop/success tests.This does not hash a source file or rerun type checking. Step identifiers and dependenciesRule: synthetic_receipt_each_field_condition · Uses: G001, S002 S004 · impliesBefore synthetic field=imports_declaration;supplied value=Yes After lexical/presence condition=Yes Conditions: none Apply the protocol's presence,flag,64-lowercase-hex-shape and exact Prop/success tests.This does not hash a source file or rerun type checking. Step identifiers and dependenciesRule: synthetic_receipt_each_field_condition · Uses: G001, S003 S005 · impliesBefore synthetic field=environment_id;supplied value= After lexical/presence condition=No Conditions: none Apply the protocol's presence,flag,64-lowercase-hex-shape and exact Prop/success tests.This does not hash a source file or rerun type checking. Step identifiers and dependenciesRule: synthetic_receipt_each_field_condition · Uses: G001, S004 S006 · impliesBefore synthetic field=context_id;supplied value=ctx-14 After lexical/presence condition=Yes Conditions: none Apply the protocol's presence,flag,64-lowercase-hex-shape and exact Prop/success tests.This does not hash a source file or rerun type checking. Step identifiers and dependenciesRule: synthetic_receipt_each_field_condition · Uses: G001, S005 S007 · impliesBefore synthetic field=source_sha256;supplied value=000000000000000000000000000000000000000000000000000000000000000e After lexical/presence condition=Yes Conditions: none Apply the protocol's presence,flag,64-lowercase-hex-shape and exact Prop/success tests.This does not hash a source file or rerun type checking. Step identifiers and dependenciesRule: synthetic_receipt_each_field_condition · Uses: G001, S006 S008 · impliesBefore synthetic field=core_type_Prop;supplied value=Prop After lexical/presence condition=Yes Conditions: none Apply the protocol's presence,flag,64-lowercase-hex-shape and exact Prop/success tests.This does not hash a source file or rerun type checking. Step identifiers and dependenciesRule: synthetic_receipt_each_field_condition · Uses: G001, S007 S009 · impliesBefore synthetic field=elaboration_success;supplied value=success After lexical/presence condition=Yes Conditions: none Apply the protocol's presence,flag,64-lowercase-hex-shape and exact Prop/success tests.This does not hash a source file or rerun type checking. Step identifiers and dependenciesRule: synthetic_receipt_each_field_condition · Uses: G001, S008 S010 · impliesBefore missing reasons in protocol order=[environment_id] After synthetic metadata complete=No Conditions: none Keep missing reasons in protocol order.Complete metadata guarantees neither truthful contents,an existing environment,a proved statement nor a successful kernel execution. Step identifiers and dependenciesRule: synthetic_metadata_complete_not_proof · Uses: G001, S009 ## Reverse checks - S010 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S009 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S008 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S007 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S006 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S004 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S002 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. - S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence. ## Result (4.34.0, [Mathlib, Module14], Yes, missing, ctx-14, Yes, Prop, success, [environment_id], No) The full substitutions and premise checks give the original answer; source identity,format and status are unchanged. ## This question review and source binding Review date: 2026-10-26 Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof. Source hashes and review receipts - input commit: 0f7be61e2c22317a4075561dc822c87d881a50db - original question SHA-256: 364cae98a5b06dfb48a35f1073d72f495e85d623f52fd2339cbae04a977a3e30 - candidate record SHA-256: 46ba053ba170f16408ecf13ff5fff9606748600a85cf250047d843ba37db8799 - semantic review receipt SHA-256: 00fcddb10a9fb0f56697308976a52e68e2537472bd8e68ecbe96d3c4553f4ad2 - question-first witness SHA-256: 198e04380b2d32aef2375b07ca0df1f8afa454d1184993173fad8a3c9187a3d1 - Lean: NOT_RUN · human review: NOT_PERFORMED [Same-source full JSON](https://ocme.evemisslab.com/data/question-derivations/questions/q-20261013-advance-20261018-r07-lean-formal-statement-0090.json)