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
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
(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。
證明項 · qf-ext19-proofterm-small-calculus · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
([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。
證明項 · qf-ext19-proofterm-context-use · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-tactic-vs-term · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate
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。
(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。
證明項 · qf-ext19-proofterm-kernel-receipt · candidate