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proof(flow): item 497 — the strict-lead carry: FlowArm.openNest's ε lead carries trailingPropertyRun = [], accum_step_flow_trace's held-run nested-open disjunct folds into the first - #318
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NicolasRouquette
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Nov 15, 2026
This was referenced Nov 15, 2026
…ead carries trailingPropertyRun = [], accum_step_flow_trace's held-run nested-open disjunct folds into the first Co-Authored-By: Nicolas Rouquette <nicolas.f.rouquette@jpl.nasa.gov>
…317) Co-Authored-By: Nicolas Rouquette <nicolas.f.rouquette@jpl.nasa.gov>
…ws, merged without the re-pin) Co-Authored-By: Nicolas Rouquette <nicolas.f.rouquette@jpl.nasa.gov>
…em 498 Co-Authored-By: Nicolas Rouquette <nicolas.f.rouquette@jpl.nasa.gov>
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Summary
This is item 497. It pays S3's item 474 NEXT (a), the strict-lead carry that S3 handed to Row 19. It works on the flow side only and touches none of R12's producers.
FlowArm.openNest.h_lead's ε disjunct now also carriestrailingPropertyRun sc.tokens = [].accum_step_flow'sh_tupleopen-lead conjunct carries the same fact.Effect on
accum_step_flow_trace:GapRead.props'h_held : trailingPropertyRun sc.tokens ≠ []) refutes the ε disjunct.SSeparate n .flowIn sp_scan sp_brthatopenNestSeqProps/openNestMapPropsask for.[&a [b]], is deleted.ev ++ ev_p. The conclusion has three disjuncts.Size:
StreamAccum.lean: 5 lines. Only the white arm ofh_tupleneeded a new term,trailingPropertyRun_eq_nil_of_sync h_sync. The props arm already returnedOr.inl, and the twoopenNestproducer sites build unchanged.TraceOf/FlowWalk.lean: about 18 lines.accum_step_flow_tracehas no other consumer.Rule 2: the existing P109 (iii) row holds on this tree: the run is never glued to the bracket (glued 0, spanning a line break 1).
Pins moved:
GhostIndexCensus: theFlowArm.openNest[14].h_leadε row text gains the new conjunct. The count stays 123.ValueLineOrigins: liteNodes 673507 → 674092. This is term size only.Closure log: items 491–496 are declared as gaps, each claimed by an open PR (#311, #313, #312, #316, #315, #317).
check-closure-logis green for 11..497.Local battery:
lake build: 1564 jobs, exit 0.run-all-tests: 0.accum_step_flowandaccum_step_flow_trace, andpropextonFlowArm.openNest.Link to Devin session: https://nasa-jpl-demo.devinenterprise.com/sessions/12a32597e3554be1aeeb264f49263290
Open in Devin Desktop: https://nasa-jpl-demo.devinenterprise.com/desktop/session/12a32597e3554be1aeeb264f49263290?variant=devin
Requested by: @NicolasRouquette
🟢 Devin Review found nothing to fix · View findings