Use the original question domain, assumptions and cited MKO definitions. This item has second-context mathematical and bilingual review, with the model, answer and every arithmetic step independently recomputed from the original parameters; the source question remains a candidate.
Retain the historical interface marker in the original snapshot while listing ordered source fields here,without JavaScript or external lookup.Field labels are not additional mathematical evidence,and No retains the source claim scope.
Check every adjacent pair in original order without sorting or deduplicating to repair the prefix.Positive differences at all finite adjacent positions certify this prefix's strict increase.
Check every adjacent pair in original order without sorting or deduplicating to repair the prefix.Positive differences at all finite adjacent positions certify this prefix's strict increase.
Check every adjacent pair in original order without sorting or deduplicating to repair the prefix.Positive differences at all finite adjacent positions certify this prefix's strict increase.
ORIGINAL finite index list=[9, 14, 19, 24];ALL adjacent strict flags=[Yes, Yes, Yes]
After
this finite prefix increasing=Yes;INFINITE certificate supplied by original data=No;finite_prefix_not_infinite_subsequence_certificate
Conditions: none
The No says the original data do not specify a universal law for all later indices.A valid finite prefix can be separately extended,for example by adding1 after its last value,but that does not determine an unspecified original continuation.If the prefix already fails,its actual adjacent violation is the obstruction.
S008 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S007 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S006 · premise_and_result_audit — Recompute subsequence finite prefix adjacent index3 difference with exact rational arithmetic, not rounded decimals.
S005 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S004 · premise_and_result_audit — Recompute subsequence finite prefix adjacent index2 difference with exact rational arithmetic, not rounded decimals.
S003 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
S002 · premise_and_result_audit — Recompute subsequence finite prefix adjacent index1 difference with exact rational arithmetic, not rounded decimals.
S001 · premise_and_result_audit — Check against the original data and this step's premises; a one-way implication is not an equivalence.
Result
([9, 14, 19, 24], Yes, No, finite_increasing_prefix_not_infinite_subsequence_certificate)
The full substitutions and premise checks give the original answer; source identity,format and status are unchanged.
This question review and source binding
Review date: 2026-10-26
Original questions, answers, step expressions, numeric ASTs and historical records are retained. Source candidate labels remain historical and are not overwritten as formal proof.