Each close into members' capital rounded on its own, ties to the earlier member, so twelve monthly 50/50 closes of odd-cent income could leave one member several cents ahead of half the year (docs/testing.md #12, found with the members' equity fix). - CloseTo::Members now splits cumulatively over a run (closes back to back with the same members and shares): each close gives a member allocate(run total so far) - allocate(run total before). Periods record their close order and a cumulative close's members and net (Period::close_seq, member_close) so the next close continues the run and replay recomputes it exactly. A close to anything else, or other shares, ends the run. - Journaled "rounding": "cumulative". The per-close rule is kept as CloseTo::MembersPerClose for closes journaled "largest_remainder"; older closes still replay with the last member absorbing it. - Lean: runPart_telescopes (a member's total from a run is their allocation of the run's total) and closePart_total (each close hands out exactly its net), audited to the standard axioms. - Tests: hand-computed three one-cent months (per close A 0.03 / B 0; cumulative A 0.02 / B 0.01), a run ending, a property that each member stays within a cent of their share (fails on the per-close rule), and a store contract that each rule journals and replays as itself. Wanderland's books have no closes yet, so all of theirs use the new rule. Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01GWVo7x3UHw5kwCUaWxiejX
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@@ -124,6 +124,13 @@ sequence of commands, of any length**:
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other shares were rounded, and only the last share changes.
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- Kani `plug_last_sums_exactly` · Lean `plugLast_total`,
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`plugLast_keeps`
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17. **A run of member closes telescopes**: each member's total from a run
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of cumulative closes is their allocation of everything the run closed
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(so its rounding is one allocation's, never a sum of them), and each
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close hands out exactly its net, for any allocation whose parts sum to
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the whole (rules.md B-13).
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- Lean `runPart_telescopes`, `closePart_total` · property
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`each_member_stays_within_a_cent_of_their_share`
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## What the proofs found
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