R0051-26313 · q-20261015-advance-20261116-r02-intermediate-value-theorem-0088
a<b、continuous interval function與inclusive target bracket責任。操作=ivt-discontinuity-boundary；資料={"mode":"discontinuous_jump","scale":13}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。
G001 — a<b、continuous interval function與inclusive target bracket責任。操作=ivt-discontinuity-boundary；資料={"mode":"discontinuous_jump","scale":13}。請依 exact_ordered_tuple_declared_by_interface 欄序回答。沿用原題明示的論域、假設與來源 MKO 定義。本題已完成第二對話數理與中英語義覆核，並由原始參數逐題獨立重算模型、答案與每個算術步驟；原題仍為 candidate。
操作前
source roles = [ivt-discontinuity-boundary]
操作後
derived = [[mode, function_description, a, b, target, inclusive_bracket, continuous, root_exists]]
條件：無
本頁直接列完整來源欄序，不需JavaScript；contract的6/4/6/6與IVT的8/7/8由原mode選，不補欄也不由答案形狀猜。
規則：source_ordered_fields_without_JS · 依賴：G001
操作前
source roles = [discontinuous_jump, 13]
操作後
derived = [discontinuous_jump, f(x)=-13_for_x<0_and_13_for_x>=0, -1, 1, 0, 是, 否, 否]
條件：無
jump只取±s所以不中0，雖端點bracket卻不continuous；scaled identity在[0,1]值只到s而target2s不bracket；x²在[-s,s]對s²有兩endpoint roots，存在不保唯一。各False欄意義依mode，不補continuous欄。
規則：IVT_original_jump_nonbracket_nonunique_distinct_roles · 依賴：G001, S001
S002 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。S001 · premise_and_result_audit — 回到原始資料與本步條件核對，不把單向推論誤稱等價。(discontinuous_jump, f(x)=-13_for_x<0_and_13_for_x>=0, -1, 1, 0, 是, 否, 否)
依上列完整代值及條件核對得到原題答案；原題編號、格式與狀態保持不變。
覆核日期：2026-10-26
原題、答案、步驟表達式、數值 AST 與既有歷史保持原樣；原來的候選狀態屬於來源歷史，不覆寫為形式化證明。
input commit: 0f7be61e2c22317a4075561dc822c87d881a50dboriginal question SHA-256: 9784fc40401af8dccd183084335a804f1c2af1de485c211ed13851cbbfef4b1ccandidate record SHA-256: 9a07d43b512922fa54074fd58cbf5653a82b6b4bec1bd9af87dfad4929c59005semantic review receipt SHA-256: 90df1e889242e9afdf01e068788ee8500ef366ffcfc0496e30a6800de32631c3question-first witness SHA-256: ae1e849608590ca856c9f3b6911ba58e3bf53c608eb7369606192a770f48bd5cLean: NOT_RUN · human review: NOT_PERFORMED