thin.value-loss-le-defects
and · drafted
Statement
The approximate form (A6), for deterministic records, from `TransparentChannel.abs_expect_sub_le_width` on `Act × W`; `value_approx` composes it with theorem 3 for the model. Inhabited at `a = m`, `V = F` by `Witness.thin_inhabited`'s data (both defects zero).
Source
projects/deference/CLAIMS.md, entry thin.value-loss-le-defects (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.ThinLegitimacy.value_loss_le_defects in lean/Workspace/Deference/Contrib/ThinLegitimacy.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; its hypotheses are unread (ruling F1, 2026-10-23): the record's Source carries the signature verbatim, and a reader files the hypothesis leaves. Registry note: The approximate form (A6), for deterministic records, from TransparentChannel.abs_expect_sub_le_width on Act × W; value_approx composes it with theorem 3 for the model. Inhabited at a = m, V = F by Witness.thin_inhabited's data (both defects zero). Not shown: the kernel form; the loss of correct as a credence (item 107). The registry's answers_item is the priorities pointer to item 107 (ruling F2).
Bridge card
Connected to no informal claim yet: held by authorship-and-transparency.
Declaration Workspace.Deference.Contrib.ThinLegitimacy.value_loss_le_defects in lean/Workspace/Deference/Contrib/ThinLegitimacy.lean (record thin.value-loss-le-defects.record)
Registry thin.value-loss-le-defects: class lean-proved, status active, review ci-only, origin round 2026-10-01-thin-legitimacy-and-effective-authority; bears on item 107
The statement of record of `thin.value-loss-le-defects` formalizes the registered claim as the registry reads it: The value loss is at most D times the transparency defect plus D times the authorship defect.
Hypotheses: unread (the record's Source carries the signature; a reader files them).
Completeness (thin.value-loss-le-defects.complete): No premise beyond the signature's binders enters the declaration; the kernel checks it as stated. The result is the record, this leaf and the bridge, and its hypotheses are unread: the record's Source carries the signature verbatim and no hypothesis leaf is filed until a reader files one.
Author and human events
Author @smithy-verity; version 1; size M.
No human event has touched this node.
Edges
Above
- held by authorship-and-transparency
Children
- part: thin.value-loss-le-defects.record leaf/record
- part: thin.value-loss-le-defects.bridge leaf/bridge
- part: thin.value-loss-le-defects.complete leaf/completeness
Work pointers
Ranking (the lens, not the structure)
{
"status": "open",
"diagnosis": null,
"flags": [
"held by authorship-and-transparency",
"hypotheses unread"
],
"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.