warrant.licence-chain
and · drafted
Statement
A licensed verdict is supported on the record's grounds and admissible in their region; supported-to-admissible is by rational convexity of the bundle's region (region_convex), not a projection.
Source
projects/normativity/CLAIMS.md, entry warrant.licence-chain (class lean-proved, status active, origin round 2026-10-20-warrant-enforcement-semantics; answers item 56). Documentation: verification: projects/normativity/rounds/2026-10-20-warrant-enforcement-semantics/LICENCE_CHAIN.md; context: projects/normativity/rounds/2026-10-20-warrant-enforcement-semantics/COUNTERMODELS.md. The signature of Workspace.Normativity.Contrib.WarrantEntitlement.licence_chain in lean/Workspace/Normativity/Contrib/WarrantEntitlement.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 the four leaves, one of which restates the conclusion's first conjunct (Licensed → Supported is the definition of Licensed), its bridge names the gap between the claim and the declaration, and it is a conjunct of the informal claim verdict-licence-chain, a shared-claim root of normative-inductor, rather than a node that frame holds. Registry note: A licensed verdict is supported on the record's grounds and admissible in their region; supported-to-admissible is by rational convexity of the bundle's region (region_convex), not a projection. The registry's answers_item is the priorities pointer to item 56 (ruling F2).
Bridge card
A conjunct of the informal claim verdict-licence-chain: A verdict licence is a certificate supported on the compiled bundle together with an authorized record event, and a licensed verdict is supported on the record's grounds and admissible in their settled region, the step from supported to admissible holding by rational convexity of the region rather than by projection.
Declaration Workspace.Normativity.Contrib.WarrantEntitlement.licence_chain in lean/Workspace/Normativity/Contrib/WarrantEntitlement.lean (record warrant.licence-chain.record)
Registry warrant.licence-chain: class lean-proved, status active, review ci-only, origin round 2026-10-20-warrant-enforcement-semantics; bears on item 56
The claim asserts a chain of three standings for an announced verdict: licensed implies supported implies admissible. The declaration certifies, for a record state at one step, that a verdict licensed there (supported on the record's survivors by a certificate whose cited rows are live, and issued by an authorized event) is supported on the record's grounds under its docket and settlement, and admissible, that is, attained by some point of the settled region. The gaps: the first arrow is the definition of Licensed read back (Licensed is Supported plus authorization), so the content of the chain is the second arrow alone, Supported → Admissible by rational convexity of the settled region (`region_convex`, through `supportedOn_admissibleOn`), not by any projection; the chain holds at one record state and says nothing about transport across a record transition (item 115); the authorization clause is carried and not used; and the two converses fail, as the round's countermodels `admissible_not_supported` and `supported_not_licensed` show, which the claim's wording does not state.
Hypotheses, read:
- warrant.licence-chain.h-record-state definitional: A record state at a step consists of admitted grounds, a docket, a settlement and the set of record events the record authorizes.
The implicit binder `R : RecordState d` and the coordinate and value `φ`, `v`. Definitional: the object the chain is stated over, Part A's view of the record; nothing is assumed of its contents. - warrant.licence-chain.h-verdict-certificate definitional: A verdict certificate is a lower and an upper bound certificate, each row cited by occurrence, a pin or a cube face, with the two endpoints and the region points that attain them.
The implicit binder `c : VerdictCert d m m' φ`. Definitional: the shape of a certificate; whether its rows are admitted is the Supported clause below. - warrant.licence-chain.h-supported restates-conclusion: The certificate's positively weighted rows are cited into the settled bundle, its endpoints bracket the verdict, and both endpoints are attained in the bundle's region (the verdict is Supported).
The first conjunct of `h : Licensed R φ v c event`, since Licensed is defined as Supported together with an authorized event. It restates the conclusion's first conjunct verbatim: the arrow Licensed → Supported is the definition of Licensed read back, and only the arrow Supported → Admissible has content (rational convexity of the settled region, `region_convex`). This is the finding the level rule exists for: the result's first half is a restatement, its second half a one-line theorem on a definition. - warrant.licence-chain.h-authorized-event definitional: The event that issued and selected the certificate is one the record authorizes.
The second conjunct of `h : Licensed R φ v c event`. Definitional: part of what Licensed means; the conclusion does not read it (neither Supported nor Admissible mentions the event), so the chain carries the authorization clause without using it. Where a licence is refused for lack of authorization is the countermodel `supported_not_licensed`, not this theorem.
Completeness (warrant.licence-chain.complete): No premise beyond the signature's binders enters the declaration; the kernel checks it as stated. The result is the record, the four hypothesis leaves filed by reading (the record state, the verdict certificate, the Supported clause of Licensed, which restates the conclusion's first conjunct, and the authorized-event clause, which the conclusion does not read), the bridge and this leaf.
What remains (verdict-licence-chain.improvable)
The licence chain, in which a licensed verdict is supported on the record's grounds and admissible in their settled region, can be improved until it reflects a Normative Inductor whose announced verdicts are licensed end to end by its accounted record well.
- route-licence-transport: A licence whose cited occurrences survive a record transition, with the issuing event still authorized and the settlement extended compatibly, is a licence after it, and a licence whose cited occurrence is defeated is not. — item 115
- route-licence-authorization-from-account: What authorizes a record event is read off the accounted obligation state, so that the authorized-event clause of a licence is derived from the record rather than declared beside it. — item 56
- verdict-licence-chain.residual (residual): A refinement of the licence chain that none of the other routes describes reflects a Normative Inductor whose announced verdicts are licensed end to end by its accounted record.
Author and human events
Author @smithy-verity; version 1; size M.
No human event has touched this node.
Edges
Above
- part of verdict-licence-chain
Children
- part: warrant.licence-chain.record leaf/record
- part: warrant.licence-chain.bridge leaf/bridge
- part: warrant.licence-chain.complete leaf/completeness
- part: warrant.licence-chain.h-record-state leaf/hypothesis
- part: warrant.licence-chain.h-verdict-certificate leaf/hypothesis
- part: warrant.licence-chain.h-supported leaf/hypothesis
- part: warrant.licence-chain.h-authorized-event 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.