# Question 2190: Presence Flags for a Replayable Synthetic Record

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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.

R0003-02190 · q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0090



## Original question and givens

Use a synthetic response record and the explicitly declared mathematical rule. A match code reports only rule agreement, not the ability, personality, learning difficulty, cause of error or learning outcome of a real student. item_id=21014; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).


- G001 — Use a synthetic response record and the explicitly declared mathematical rule. A match code reports only rule agreement, not the ability, personality, learning difficulty, cause of error or learning outcome of a real student. item_id=21014; prompt_present=true, expected_present=true, response_present=true, rule_present=true. Give (item id,prompt flag,expected flag,response flag,rule flag,all present?,synthetic_record_complete or synthetic_record_incomplete).





## 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-diagnostic-mathematical-assessment](https://ocme.evemisslab.com/en/mko/mko-diagnostic-mathematical-assessment/)





## Step-by-step derivation

S001 · impliesBefore

synthetic response record and a declared mathematical rule

After

check rule agreement,not a learner diagnosis

Conditions: none

These are synthetic records;one response does not diagnose a real learner's ability,psychology or learning outcome.

Step identifiers and dependenciesRule: synthetic_record_scope · Uses: G001





S002 · impliesBefore

item=21014; prompt_present

After

Yes

Conditions: none

Read each explicit presence flag;neither numeric0 nor a False response is inherently missing data.

Step identifiers and dependenciesRule: explicit_presence_flag · Uses: G001, S001





S003 · impliesBefore

item=21014; expected_present

After

Yes

Conditions: none

Read each explicit presence flag;neither numeric0 nor a False response is inherently missing data.

Step identifiers and dependenciesRule: explicit_presence_flag · Uses: G001, S002





S004 · impliesBefore

item=21014; response_present

After

Yes

Conditions: none

Read each explicit presence flag;neither numeric0 nor a False response is inherently missing data.

Step identifiers and dependenciesRule: explicit_presence_flag · Uses: G001, S003





S005 · impliesBefore

item=21014; rule_present

After

Yes

Conditions: none

Read each explicit presence flag;neither numeric0 nor a False response is inherently missing data.

Step identifiers and dependenciesRule: explicit_presence_flag · Uses: G001, S004





S006 · impliesBefore

[Yes, Yes, Yes, Yes]

After

all four fields present=Yes; code=synthetic_record_complete

Conditions: none

All four fields must be present;a complete record is not necessarily correct or reviewed.

Step identifiers and dependenciesRule: record_completeness_conjunction · Uses: G001, S005









## Reverse checks


- 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

(21014, Yes, Yes, Yes, Yes, Yes, synthetic_record_complete)

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: d9caf95495083af15530cc8ff65ea5818c6051fab94316fe8190277954a19a31
- candidate record SHA-256: f64a1fc49864e8a796eba724617dc80684170884ae9b4537d5d7d01b6bdb332d
- semantic review receipt SHA-256: 5dbc70ebd5f74b23384c93b63a2b1d6519e206c79f22ae16a6c2d7483cea783f
- question-first witness SHA-256: cf121c8dd2fec13aa118b04b049ee39494f1d6d9ecdc13514cafb78c0fc021fa
- Lean: NOT_RUN · human review: NOT_PERFORMED

[Same-source full JSON](https://ocme.evemisslab.com/data/question-derivations/questions/q-20261013-advance-20261021-r02-diagnostic-mathematical-assessment-0090.json)