# 證明項基礎 · 脈衝 R07

本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。

本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。

batch-20261013-advance-20261019-r07-lean-proof-term-foundations · 2026-10-13 · 100 題



## 1. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h0","type":"P0"}],"term":{"kind":"var","name":"h0"},"claimed_type":"P0"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P0, P0, 是)

第二批擴展核對=(P0, P0, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0001/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 2. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[],"term":{"kind":"lam","name":"x1","var_type":"P1","body":{"kind":"var","name":"x1"}},"claimed_type":["imp","P1","P1"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([imp, P1, P1], [imp, P1, P1], 是)

第二批擴展核對=([imp, P1, P1], [imp, P1, P1], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0002/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 3. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h2","type":"P2"},{"name":"q2","type":"Q2"}],"term":{"kind":"pair","left":{"kind":"var","name":"h2"},"right":{"kind":"var","name":"q2"}},"claimed_type":["and","P2","Q2"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([and, P2, Q2], [and, P2, Q2], 是)

第二批擴展核對=([and, P2, Q2], [and, P2, Q2], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0003/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 4. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"pair3","type":["and","P3","Q3"]}],"term":{"kind":"fst","pair":{"kind":"var","name":"pair3"}},"claimed_type":"P3"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P3, P3, 是)

第二批擴展核對=(P3, P3, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0004/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 5. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h4","type":"P4"}],"term":{"kind":"var","name":"h4"},"claimed_type":"P4"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P4, P4, 是)

第二批擴展核對=(P4, P4, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0005/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 6. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[],"term":{"kind":"lam","name":"x5","var_type":"P5","body":{"kind":"var","name":"x5"}},"claimed_type":["imp","P5","P5"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([imp, P5, P5], [imp, P5, P5], 是)

第二批擴展核對=([imp, P5, P5], [imp, P5, P5], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0006/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 7. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h6","type":"P6"},{"name":"q6","type":"Q6"}],"term":{"kind":"pair","left":{"kind":"var","name":"h6"},"right":{"kind":"var","name":"q6"}},"claimed_type":["and","P6","Q6"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([and, P6, Q6], [and, P6, Q6], 是)

第二批擴展核對=([and, P6, Q6], [and, P6, Q6], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0007/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 8. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"pair7","type":["and","P7","Q7"]}],"term":{"kind":"fst","pair":{"kind":"var","name":"pair7"}},"claimed_type":"P7"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P7, P7, 是)

第二批擴展核對=(P7, P7, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0008/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 9. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h8","type":"P8"}],"term":{"kind":"var","name":"h8"},"claimed_type":"P8"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P8, P8, 是)

第二批擴展核對=(P8, P8, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0009/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 10. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[],"term":{"kind":"lam","name":"x9","var_type":"P9","body":{"kind":"var","name":"x9"}},"claimed_type":["imp","P9","P9"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([imp, P9, P9], [imp, P9, P9], 是)

第二批擴展核對=([imp, P9, P9], [imp, P9, P9], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0010/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 11. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h10","type":"P10"},{"name":"q10","type":"Q10"}],"term":{"kind":"pair","left":{"kind":"var","name":"h10"},"right":{"kind":"var","name":"q10"}},"claimed_type":["and","P10","Q10"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([and, P10, Q10], [and, P10, Q10], 是)

第二批擴展核對=([and, P10, Q10], [and, P10, Q10], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0011/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 12. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"pair11","type":["and","P11","Q11"]}],"term":{"kind":"fst","pair":{"kind":"var","name":"pair11"}},"claimed_type":"P11"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P11, P11, 是)

第二批擴展核對=(P11, P11, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0012/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 13. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h12","type":"P12"}],"term":{"kind":"var","name":"h12"},"claimed_type":"P12"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P12, P12, 是)

第二批擴展核對=(P12, P12, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0013/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 14. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[],"term":{"kind":"lam","name":"x13","var_type":"P13","body":{"kind":"var","name":"x13"}},"claimed_type":["imp","P13","P13"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([imp, P13, P13], [imp, P13, P13], 是)

第二批擴展核對=([imp, P13, P13], [imp, P13, P13], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0014/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 15. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h14","type":"P14"},{"name":"q14","type":"Q14"}],"term":{"kind":"pair","left":{"kind":"var","name":"h14"},"right":{"kind":"var","name":"q14"}},"claimed_type":["and","P14","Q14"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([and, P14, Q14], [and, P14, Q14], 是)

第二批擴展核對=([and, P14, Q14], [and, P14, Q14], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0015/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 16. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"pair15","type":["and","P15","Q15"]}],"term":{"kind":"fst","pair":{"kind":"var","name":"pair15"}},"claimed_type":"P15"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P15, P15, 是)

第二批擴展核對=(P15, P15, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0016/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 17. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h16","type":"P16"}],"term":{"kind":"var","name":"h16"},"claimed_type":"P16"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P16, P16, 是)

第二批擴展核對=(P16, P16, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0017/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 18. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[],"term":{"kind":"lam","name":"x17","var_type":"P17","body":{"kind":"var","name":"x17"}},"claimed_type":["imp","P17","P17"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([imp, P17, P17], [imp, P17, P17], 是)

第二批擴展核對=([imp, P17, P17], [imp, P17, P17], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0018/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 19. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h18","type":"P18"},{"name":"q18","type":"Q18"}],"term":{"kind":"pair","left":{"kind":"var","name":"h18"},"right":{"kind":"var","name":"q18"}},"claimed_type":["and","P18","Q18"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([and, P18, Q18], [and, P18, Q18], 是)

第二批擴展核對=([and, P18, Q18], [and, P18, Q18], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0019/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 20. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"pair19","type":["and","P19","Q19"]}],"term":{"kind":"fst","pair":{"kind":"var","name":"pair19"}},"claimed_type":"P19"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P19, P19, 是)

第二批擴展核對=(P19, P19, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0020/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 21. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h20","type":"P20"}],"term":{"kind":"var","name":"h20"},"claimed_type":"P20"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P20, P20, 是)

第二批擴展核對=(P20, P20, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0021/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 22. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[],"term":{"kind":"lam","name":"x21","var_type":"P21","body":{"kind":"var","name":"x21"}},"claimed_type":["imp","P21","P21"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([imp, P21, P21], [imp, P21, P21], 是)

第二批擴展核對=([imp, P21, P21], [imp, P21, P21], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0022/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 23. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h22","type":"P22"},{"name":"q22","type":"Q22"}],"term":{"kind":"pair","left":{"kind":"var","name":"h22"},"right":{"kind":"var","name":"q22"}},"claimed_type":["and","P22","Q22"]}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋([and, P22, Q22], [and, P22, Q22], 是)

第二批擴展核對=([and, P22, Q22], [and, P22, Q22], 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0023/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 24. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"pair23","type":["and","P23","Q23"]}],"term":{"kind":"fst","pair":{"kind":"var","name":"pair23"}},"claimed_type":"P23"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P23, P23, 是)

第二批擴展核對=(P23, P23, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0024/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 25. 合成證明項判定

合成proof-term receipt。操作=proofterm-small-calculus；資料={"context":[{"name":"h24","type":"P24"}],"term":{"kind":"var","name":"h24"},"claimed_type":"P24"}。請依 [inferred_type,claimed_type,matches] 欄序回答。

查看答案與解釋(P24, P24, 是)

第二批擴展核對=(P24, P24, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0025/)

證明項 · qf-ext19-proofterm-small-calculus · candidate





## 26. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h0","type":"P0"}],"term":{"kind":"var","name":"h0"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h0], [h0], [], P0, 是)

第二批擴展核對=([h0], [h0], [], P0, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0026/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 27. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h1","type":"P1"}],"term":{"kind":"var","name":"missing1"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing1], [h1], [missing1], 不求值, 否)

第二批擴展核對=([missing1], [h1], [missing1], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0027/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 28. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h2","type":"P2"}],"term":{"kind":"var","name":"h2"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h2], [h2], [], P2, 是)

第二批擴展核對=([h2], [h2], [], P2, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0028/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 29. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h3","type":"P3"}],"term":{"kind":"var","name":"missing3"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing3], [h3], [missing3], 不求值, 否)

第二批擴展核對=([missing3], [h3], [missing3], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0029/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 30. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h4","type":"P4"}],"term":{"kind":"var","name":"h4"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h4], [h4], [], P4, 是)

第二批擴展核對=([h4], [h4], [], P4, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0030/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 31. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h5","type":"P5"}],"term":{"kind":"var","name":"missing5"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing5], [h5], [missing5], 不求值, 否)

第二批擴展核對=([missing5], [h5], [missing5], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0031/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 32. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h6","type":"P6"}],"term":{"kind":"var","name":"h6"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h6], [h6], [], P6, 是)

第二批擴展核對=([h6], [h6], [], P6, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0032/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 33. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h7","type":"P7"}],"term":{"kind":"var","name":"missing7"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing7], [h7], [missing7], 不求值, 否)

第二批擴展核對=([missing7], [h7], [missing7], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0033/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 34. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h8","type":"P8"}],"term":{"kind":"var","name":"h8"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h8], [h8], [], P8, 是)

第二批擴展核對=([h8], [h8], [], P8, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0034/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 35. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h9","type":"P9"}],"term":{"kind":"var","name":"missing9"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing9], [h9], [missing9], 不求值, 否)

第二批擴展核對=([missing9], [h9], [missing9], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0035/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 36. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h10","type":"P10"}],"term":{"kind":"var","name":"h10"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h10], [h10], [], P10, 是)

第二批擴展核對=([h10], [h10], [], P10, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0036/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 37. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h11","type":"P11"}],"term":{"kind":"var","name":"missing11"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing11], [h11], [missing11], 不求值, 否)

第二批擴展核對=([missing11], [h11], [missing11], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0037/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 38. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h12","type":"P12"}],"term":{"kind":"var","name":"h12"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h12], [h12], [], P12, 是)

第二批擴展核對=([h12], [h12], [], P12, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0038/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 39. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h13","type":"P13"}],"term":{"kind":"var","name":"missing13"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing13], [h13], [missing13], 不求值, 否)

第二批擴展核對=([missing13], [h13], [missing13], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0039/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 40. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h14","type":"P14"}],"term":{"kind":"var","name":"h14"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h14], [h14], [], P14, 是)

第二批擴展核對=([h14], [h14], [], P14, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0040/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 41. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h15","type":"P15"}],"term":{"kind":"var","name":"missing15"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing15], [h15], [missing15], 不求值, 否)

第二批擴展核對=([missing15], [h15], [missing15], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0041/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 42. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h16","type":"P16"}],"term":{"kind":"var","name":"h16"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h16], [h16], [], P16, 是)

第二批擴展核對=([h16], [h16], [], P16, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0042/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 43. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h17","type":"P17"}],"term":{"kind":"var","name":"missing17"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing17], [h17], [missing17], 不求值, 否)

第二批擴展核對=([missing17], [h17], [missing17], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0043/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 44. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h18","type":"P18"}],"term":{"kind":"var","name":"h18"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h18], [h18], [], P18, 是)

第二批擴展核對=([h18], [h18], [], P18, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0044/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 45. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h19","type":"P19"}],"term":{"kind":"var","name":"missing19"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing19], [h19], [missing19], 不求值, 否)

第二批擴展核對=([missing19], [h19], [missing19], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0045/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 46. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h20","type":"P20"}],"term":{"kind":"var","name":"h20"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h20], [h20], [], P20, 是)

第二批擴展核對=([h20], [h20], [], P20, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0046/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 47. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h21","type":"P21"}],"term":{"kind":"var","name":"missing21"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing21], [h21], [missing21], 不求值, 否)

第二批擴展核對=([missing21], [h21], [missing21], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0047/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 48. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h22","type":"P22"}],"term":{"kind":"var","name":"h22"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h22], [h22], [], P22, 是)

第二批擴展核對=([h22], [h22], [], P22, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0048/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 49. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h23","type":"P23"}],"term":{"kind":"var","name":"missing23"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([missing23], [h23], [missing23], 不求值, 否)

第二批擴展核對=([missing23], [h23], [missing23], 不求值, 否)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0049/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 50. 合成證明項判定

合成proof-term receipt。操作=proofterm-context-use；資料={"context":[{"name":"h24","type":"P24"}],"term":{"kind":"var","name":"h24"}}。請依 [free_variables,context_names,missing,inferred_or_不求值,context_complete] 欄序回答。

查看答案與解釋([h24], [h24], [], P24, 是)

第二批擴展核對=([h24], [h24], [], P24, 是)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0050/)

證明項 · qf-ext19-proofterm-context-use · candidate





## 51. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":false,"tactic_finished":false,"term_present":false,"unresolved_goals":0}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(否, 否, 否, 0, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(否, 否, 否, 0, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0051/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 52. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":1}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 1, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 1, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0052/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 53. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":2}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 2, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 2, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0053/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 54. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":false,"unresolved_goals":3}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 否, 3, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 否, 3, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0054/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 55. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":false,"term_present":true,"unresolved_goals":4}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 否, 是, 4, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 否, 是, 4, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0055/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 56. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":false,"tactic_finished":true,"term_present":true,"unresolved_goals":5}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(否, 是, 是, 5, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(否, 是, 是, 5, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0056/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 57. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":false,"unresolved_goals":6}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 否, 6, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 否, 6, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0057/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 58. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":7}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 7, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 7, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0058/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 59. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":false,"term_present":true,"unresolved_goals":8}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 否, 是, 8, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 否, 是, 8, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0059/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 60. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":false,"unresolved_goals":9}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 否, 9, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 否, 9, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0060/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 61. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":false,"tactic_finished":true,"term_present":true,"unresolved_goals":10}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(否, 是, 是, 10, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(否, 是, 是, 10, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0061/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 62. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":11}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 11, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 11, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0062/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 63. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":false,"term_present":false,"unresolved_goals":12}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 否, 否, 12, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 否, 否, 12, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0063/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 64. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":13}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 13, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 13, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0064/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 65. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":14}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 14, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 14, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0065/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 66. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":false,"tactic_finished":true,"term_present":false,"unresolved_goals":15}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(否, 是, 否, 15, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(否, 是, 否, 15, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0066/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 67. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":false,"term_present":true,"unresolved_goals":16}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 否, 是, 16, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 否, 是, 16, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0067/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 68. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":17}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 17, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 17, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0068/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 69. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":false,"unresolved_goals":18}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 否, 18, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 否, 18, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0069/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 70. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":19}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 19, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 19, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0070/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 71. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":false,"tactic_finished":false,"term_present":true,"unresolved_goals":20}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(否, 否, 是, 20, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(否, 否, 是, 20, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0071/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 72. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":false,"unresolved_goals":21}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 否, 21, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 否, 21, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0072/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 73. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":22}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 22, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 22, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0073/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 74. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":true,"term_present":true,"unresolved_goals":23}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 是, 是, 23, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 是, 是, 23, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0074/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 75. 合成證明項判定

合成proof-term receipt。操作=proofterm-tactic-vs-term；資料={"statement_ready":true,"tactic_finished":false,"term_present":false,"unresolved_goals":24}。請依 [statement,tactic_finished,term_present,goals,tactic_complete,term_candidate,kernel_checked,boundary] 欄序回答。

查看答案與解釋(是, 否, 否, 24, 否, 否, 否, 尚無kernel receipt)

第二批擴展核對=(是, 否, 否, 24, 否, 否, 否, 尚無kernel receipt)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0075/)

證明項 · qf-ext19-proofterm-tactic-vs-term · candidate





## 76. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"","statement_id":"","term_sha256":"bad","type_sha256":"bad","kernel_checked":true,"axioms_recorded":false}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(缺, 缺, 否, 否, 是, 否, 否, 合成receipt仍不完整)

第二批擴展核對=(缺, 缺, 否, 否, 是, 否, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0076/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 77. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-1","statement_id":"thm-1","term_sha256":"0000000000000000000000000000000000000000000000000000000000000001","type_sha256":"0000000000000000000000000000000000000000000000000000000000000065","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-1, thm-1, 是, 是, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-1, thm-1, 是, 是, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0077/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 78. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-2","statement_id":"thm-2","term_sha256":"0000000000000000000000000000000000000000000000000000000000000002","type_sha256":"0000000000000000000000000000000000000000000000000000000000000066","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-2, thm-2, 是, 是, 是, 是, 是, 合成receipt欄位完整)

第二批擴展核對=(env-2, thm-2, 是, 是, 是, 是, 是, 合成receipt欄位完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0078/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 79. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-3","statement_id":"thm-3","term_sha256":"0000000000000000000000000000000000000000000000000000000000000003","type_sha256":"bad","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-3, thm-3, 是, 否, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-3, thm-3, 是, 否, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0079/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 80. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-4","statement_id":"thm-4","term_sha256":"bad","type_sha256":"0000000000000000000000000000000000000000000000000000000000000068","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-4, thm-4, 否, 是, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-4, thm-4, 否, 是, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0080/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 81. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-5","statement_id":"","term_sha256":"0000000000000000000000000000000000000000000000000000000000000005","type_sha256":"0000000000000000000000000000000000000000000000000000000000000069","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-5, 缺, 是, 是, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-5, 缺, 是, 是, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0081/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 82. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"","statement_id":"thm-6","term_sha256":"0000000000000000000000000000000000000000000000000000000000000006","type_sha256":"bad","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(缺, thm-6, 是, 否, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(缺, thm-6, 是, 否, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0082/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 83. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-7","statement_id":"thm-7","term_sha256":"0000000000000000000000000000000000000000000000000000000000000007","type_sha256":"000000000000000000000000000000000000000000000000000000000000006b","kernel_checked":false,"axioms_recorded":false}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-7, thm-7, 是, 是, 否, 否, 否, 合成receipt仍不完整)

第二批擴展核對=(env-7, thm-7, 是, 是, 否, 否, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0083/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 84. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-8","statement_id":"thm-8","term_sha256":"bad","type_sha256":"000000000000000000000000000000000000000000000000000000000000006c","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-8, thm-8, 否, 是, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-8, thm-8, 否, 是, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0084/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 85. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-9","statement_id":"thm-9","term_sha256":"0000000000000000000000000000000000000000000000000000000000000009","type_sha256":"bad","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-9, thm-9, 是, 否, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-9, thm-9, 是, 否, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0085/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 86. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-10","statement_id":"","term_sha256":"000000000000000000000000000000000000000000000000000000000000000a","type_sha256":"000000000000000000000000000000000000000000000000000000000000006e","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-10, 缺, 是, 是, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-10, 缺, 是, 是, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0086/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 87. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-11","statement_id":"thm-11","term_sha256":"000000000000000000000000000000000000000000000000000000000000000b","type_sha256":"000000000000000000000000000000000000000000000000000000000000006f","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-11, thm-11, 是, 是, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-11, thm-11, 是, 是, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0087/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 88. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"","statement_id":"thm-12","term_sha256":"bad","type_sha256":"bad","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(缺, thm-12, 否, 否, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(缺, thm-12, 否, 否, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0088/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 89. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-13","statement_id":"thm-13","term_sha256":"000000000000000000000000000000000000000000000000000000000000000d","type_sha256":"0000000000000000000000000000000000000000000000000000000000000071","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-13, thm-13, 是, 是, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-13, thm-13, 是, 是, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0089/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 90. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-14","statement_id":"thm-14","term_sha256":"000000000000000000000000000000000000000000000000000000000000000e","type_sha256":"0000000000000000000000000000000000000000000000000000000000000072","kernel_checked":true,"axioms_recorded":false}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-14, thm-14, 是, 是, 是, 否, 是, 合成receipt仍不完整)

第二批擴展核對=(env-14, thm-14, 是, 是, 是, 否, 是, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0090/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 91. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-15","statement_id":"","term_sha256":"000000000000000000000000000000000000000000000000000000000000000f","type_sha256":"bad","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-15, 缺, 是, 否, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-15, 缺, 是, 否, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0091/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 92. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-16","statement_id":"thm-16","term_sha256":"bad","type_sha256":"0000000000000000000000000000000000000000000000000000000000000074","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-16, thm-16, 否, 是, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-16, thm-16, 否, 是, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0092/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 93. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-17","statement_id":"thm-17","term_sha256":"0000000000000000000000000000000000000000000000000000000000000011","type_sha256":"0000000000000000000000000000000000000000000000000000000000000075","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-17, thm-17, 是, 是, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-17, thm-17, 是, 是, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0093/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 94. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"","statement_id":"thm-18","term_sha256":"0000000000000000000000000000000000000000000000000000000000000012","type_sha256":"bad","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(缺, thm-18, 是, 否, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(缺, thm-18, 是, 否, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0094/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 95. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-19","statement_id":"thm-19","term_sha256":"0000000000000000000000000000000000000000000000000000000000000013","type_sha256":"0000000000000000000000000000000000000000000000000000000000000077","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-19, thm-19, 是, 是, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-19, thm-19, 是, 是, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0095/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 96. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-20","statement_id":"","term_sha256":"bad","type_sha256":"0000000000000000000000000000000000000000000000000000000000000078","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-20, 缺, 否, 是, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-20, 缺, 否, 是, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0096/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 97. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-21","statement_id":"thm-21","term_sha256":"0000000000000000000000000000000000000000000000000000000000000015","type_sha256":"bad","kernel_checked":false,"axioms_recorded":false}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-21, thm-21, 是, 否, 否, 否, 否, 合成receipt仍不完整)

第二批擴展核對=(env-21, thm-21, 是, 否, 否, 否, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0097/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 98. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-22","statement_id":"thm-22","term_sha256":"0000000000000000000000000000000000000000000000000000000000000016","type_sha256":"000000000000000000000000000000000000000000000000000000000000007a","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-22, thm-22, 是, 是, 是, 是, 是, 合成receipt欄位完整)

第二批擴展核對=(env-22, thm-22, 是, 是, 是, 是, 是, 合成receipt欄位完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0098/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 99. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"env-23","statement_id":"thm-23","term_sha256":"0000000000000000000000000000000000000000000000000000000000000017","type_sha256":"000000000000000000000000000000000000000000000000000000000000007b","kernel_checked":false,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(env-23, thm-23, 是, 是, 否, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(env-23, thm-23, 是, 是, 否, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0099/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate





## 100. 合成證明項判定

合成proof-term receipt。操作=proofterm-kernel-receipt；資料={"environment_id":"","statement_id":"thm-24","term_sha256":"bad","type_sha256":"bad","kernel_checked":true,"axioms_recorded":true}。請依 [environment,statement,term_hash_valid,type_hash_valid,kernel,axioms_recorded,qualified,status] 欄序回答。

查看答案與解釋(缺, thm-24, 否, 否, 是, 是, 否, 合成receipt仍不完整)

第二批擴展核對=(缺, thm-24, 否, 否, 是, 是, 否, 合成receipt仍不完整)；依完整明示資料重算；有限／合成資料核對不是一般形式證明；本輪未跑Lean build；statement不等於已驗證proof；tactic log不等於kernel receipt。



[本題逐步詳解（AI 二次覆核）](https://ocme.evemisslab.com/zh-Hant/questions/q-20261013-advance-20261019-r07-lean-proof-term-0100/)

證明項 · qf-ext19-proofterm-kernel-receipt · candidate



[原始題目 JSONL](https://ocme.evemisslab.com/data/questions/batches/batch-20261013-advance-20261019-r07-lean-proof-term-foundations/questions.jsonl) · [驗收報告](https://ocme.evemisslab.com/data/questions/batches/batch-20261013-advance-20261019-r07-lean-proof-term-foundations/validation-report.json)