authority.approval-discount-defeated
and · drafted
Statement
P6, the guard's necessity witness: the kernel's evaluation is the discounted one at discount zero (`evalOf_eq_discounted_zero`); at discount one the option evaluates at its bid. Inhabited by any `c < bid` with `w ≤ c`; the house-sale values `1/2 < 3/5`.
Source
projects/deference/CLAIMS.md, entry authority.approval-discount-defeated (class lean-proved, status active, origin round 2026-10-01-thin-legitimacy-and-effective-authority; answers item 107). Documentation: verification: projects/deference/rounds/2026-10-01-thin-legitimacy-and-effective-authority/REPORT.md; context: prompts/2026-10-01-thin-legitimacy-and-effective-authority/REPORT.md. The signature of Workspace.Deference.Contrib.EffectiveAuthority.discount_defeats_exchange_rate in lean/Workspace/Deference/Contrib/EffectiveAuthority.lean.
Notes
Filed by the map-as-canonical round (prompts/2026-10-22-map-as-canonical) from the registry entry and the declaration's signature. The site-vertical-slice round (projects/enabling/rounds/2026-10-24-site-vertical-slice) connected it by reading: its hypotheses are filed as leaves, its bridge names the gap between the claim and the declaration, and it is one of the twelve conjuncts of the informal claim effective-authority-layer (the effective-authority layer), a shared-claim root of authorship-and-transparency and public-corrigibility-line, rather than a node a frame holds. The registry's answers_item is the priorities pointer to item 107 (ruling F2).
Bridge card
A conjunct of the informal claim effective-authority-layer: Effective authority is modelled with a queue that cannot be bypassed, caused and flood-caused shortfalls, a comprehension shortfall, approval discounts and a revocation default, with sincerity conditions on which verdicts count.
Declaration Workspace.Deference.Contrib.EffectiveAuthority.discount_defeats_exchange_rate in lean/Workspace/Deference/Contrib/EffectiveAuthority.lean (record authority.approval-discount-defeated.record)
Registry authority.approval-discount-defeated: class lean-proved, status active, review ci-only, origin round 2026-10-01-thin-legitimacy-and-effective-authority; bears on item 107
The claim asserts that discounting a violation's price by predicted approval lets a certain line-crossing beat asking. The declaration certifies, at discount one with approval predicted certain, that the discounted evaluation of the option is its bid, that the queue's evaluation is below it, and that the exchange rate's threshold is then below one. The gap: the guard's necessity witness is a two-line computation on the kernel's evaluation at the extreme discount; the claim's generality (any discounting) is read from this one witness.
Hypotheses, read:
- authority.approval-discount-defeated.h-case definitional: The queue's value is below the option's bid and at least the floor.
The binders `hc`, `hw` with the kernel's parameters. Definitional: the case in which the rejected alternative is tested.
Completeness (authority.approval-discount-defeated.complete): No premise beyond the signature's binders enters the declaration; the kernel checks it as stated. The result is the record, the hypothesis leaf filed by reading, the bridge and this leaf.
What remains (effective-authority-layer.improvable)
The effective-authority layer, in which authority is exercised through a protocol that cannot be bypassed, with caused and flood-caused shortfalls, a comprehension shortfall, approval discounts and a revocation default, and sincerity conditions on which verdicts count, can be improved until it reflects a principal whose later judgment counts as her own because the agent asks through her protocol, keeps her attention budget and takes no authority back from her well.
- item-131: The ask-list deviation is a dimension of the counted trace, so that asking off the declared protocol is tainted by the record's own counting rather than by a self-checkable clause beside it. — this is item 131
- route-authority-blackwell-converse: What item 107 leaves open behind the post is closed: Blackwell's converse for the thin specification's value clause, the loss of correctness, and the remaining items of the post's backing. — item 107
- route-authority-attention-physics: The attention budget is realized in a physics rather than given as a cost table, so that a flood shortfall and a comprehension shortfall are events the market prices, as the shortfall security prices them. — item 101
- effective-authority-layer.residual (residual): A refinement of the effective-authority layer that none of the other routes describes reflects a principal whose later judgment counts as her own because the agent asks through her protocol, keeps her attention budget and takes no authority back from her.
Author and human events
Author @smithy-verity; version 1; size M.
No human event has touched this node.
Edges
Above
- part of effective-authority-layer
Children
- part: authority.approval-discount-defeated.record leaf/record
- part: authority.approval-discount-defeated.bridge leaf/bridge
- part: authority.approval-discount-defeated.complete leaf/completeness
- part: authority.approval-discount-defeated.h-case leaf/hypothesis
Work pointers
Ranking (the lens, not the structure)
{
"status": "open",
"diagnosis": null,
"flags": [],
"V": {
"V_prior": null,
"display": "2",
"headline": 2,
"ref": 2,
"valid": 2,
"weaker": "both"
},
"belief": null,
"draft": "ai"
}Say something about it
Each verb opens a prefilled issue; a round files what lands as the ledger event it is.