CMDG-CONDENSED-CM4-P3-E-001: certify canonical finite-limit reduction by fyremael · Pull Request #465 · grandchallenge/MATH-PROGRAMME

fyremael · 2026-08-12T09:33:24Z

Purpose

Certify the canonical finite-limit reduction discovered during P3-E implementation. This supersedes the earlier Nöbeling/product-construction plan for this suboperation.

Starting from protected P3-D and protected P2-E, the formal proof avoids any chosen basis and any promotion of P2-F. It proves that solidity of the single lifted-integral coefficient object implies solidity of every finite measure value, then every profinite measure value by the protected finite-quotient limit, and finally every pinned Condensed.profiniteSolid value through the protected P2-E canonical isomorphism.

Protected baseline

The following is the original mathematical predecessor baseline for this suboperation:

protected main: e862ad01cd111024b002d1ad7d6c35af0ffe292d;
protected tree: cd9e3e04cd7893a624240e032747f0c97d946c1c;
P3-D issue CMDG-CONDENSED-CM4-P3-D-001 — reduce residual IsSolid to coefficient solidity via local-object limit closure #460 / PR CMDG-CONDENSED-CM4-P3-D-001: reduce residual solidity to coefficient solidity #461: protected closed;
P3-D disposition: LOCALITY_PRODUCT_REDUCTION_CERTIFIED__PRODUCT_WITNESS_AND_COEFFICIENT_SOLIDITY_BLOCKING.

Current protected rebind

The candidate has been rebound again to current protected main after protected main advanced only through administrative-maintenance/runtime/governance changes. The four-file P3-E payload is preserved exactly:

current protected base: 8381fb2345b7d226064f0d9cce12e73be2c7a584;
current candidate head: c93094fd26ad808adc9a805a0509ebc027160b0e;
exact P3-E source blob: 596d601b6056f2f45b7780fc693f091549c2b316;
current protected P3-G remains intact and is replayed after P3-E.

The current P3 workflow checks P3-E for proof placeholders and unconditional IsSolid instances, verifies the intended terminal theorem markers, and builds/replays P3-E after the protected P2-E terminal modules are materialized and P3-D is replayed. A unit test separately binds the exact P3-E Git blob and its no-placeholder/no-unsafe boundary.

The independent approval previously submitted on b9bbd19f3d0daadc192d3bdb9626d13d79764a91 is superseded by this rebind and is non-operative. Fresh exact-head CI and independent review of c93094fd26ad808adc9a805a0509ebc027160b0e are required before any merge disposition.

Formal route

CMDGCondensedCM4P3E.lean establishes an explicit finite coefficient-family product limit, finite-measure solidity from coefficient solidity, profinite-measure solidity through the protected finite-quotient limit, transport to Condensed.profiniteSolid, and the exact P3-C residual reduction.

No Nöbeling basis, scalar transport, or arbitrary profinite product presentation is needed by the final proof.

Claim boundary

This PR does not prove CoefficientResidualHomTheorem or coefficient-object solidity. It installs no unconditional IsSolid instance and does not mark P3 available.

No P4/P5/P6, final CM4, arbitrary-ring, derived/complex, broader C04/C06, GRAPH_CERTIFIED, dependency minimality/uniqueness, CM5, or global CMDG authority is created.

Candidate bounded terminal disposition, subject to fresh exact-head CI and independent review:

CANONICAL_FINITE_LIMIT_REDUCTION_CERTIFIED__COEFFICIENT_SOLIDITY_BLOCKING

P3 remains BLOCKING; if admitted, the remaining coefficient target is governed independently by the later protected P3-G mapping-out work and its successors.

fyremael · 2026-08-12T22:01:27Z

PRVSR_POST_MERGE_REPLAY_TRIGGER__PROTECTED_MAIN_2d4751c3c83f4cdaa07dfa5a21e3064ff5da3a9d

Governed replay trigger after protected admission of PR #473. This comment creates no mathematical or merge authority; it requests the advisory PRVSR workflow to refresh PR #465 from protected main.

fyremael · 2026-08-12T23:02:13Z

PRVSR_POST_MERGE_REPLAY_TRIGGER__PROTECTED_MAIN_4f99b64482fb6d67d918d0e4a8d919584236177f

Fresh bounded replay requested after protected merge/readback of PR #488. This trigger creates no mathematical, review, certification, merge, or propagation authority; it exists only to exercise the protected-main PRVSR runtime against PR #465 and permit exact publication/readback verification.

gcl-release-trust · 2026-08-12T23:02:38Z

Advisory visual status report — `PRVSR-LIVE-PR465-c93094fd26ad-20260818081011`

operative state: UNKNOWN
freshness: CURRENT
exact PR head: c93094fd26ad808adc9a805a0509ebc027160b0e
source snapshot SHA-256: 15ac2648a2fe2c41cd885ae49461ba782a0f5d98ed74c0014b43f74cf622d4e7
durable archive: governance/pr_visual_status_archive/grandchallenge/MATH-PROGRAMME/pr-465/PRVSR-LIVE-PR465-c93094fd26ad-20260818081011/

This is a deterministic, derived, advisory presentation of governed source state. It does not create review, authorization, merge, certification, or propagation authority. The target PR head was not modified by archive or transport generation.

Phase 1 archive branch: prvsr-advisory-archive/pr-465
Archive path: governance/pr_visual_status_archive/grandchallenge/MATH-PROGRAMME/pr-465/PRVSR-LIVE-PR465-c93094fd26ad-20260818081011/
Report generation or archive failure remains advisory and non-blocking.

fyremael · 2026-08-13T01:15:46Z

PRVSR post-merge operator-index bootstrap/readback for #489 (PRVSR-OPERATOR-SURFACE-001). Advisory refresh only; no mathematical, review, merge, or claim authority is created for PR #465.

Reconcile PR #465 with protected main 8d04772 while preserving the exact P3-E source blob 596d601. Current P3-G remains intact. P3-E is added as a separate lean library; the P3 audit imports it so the existing pinned P3 replay compiles it, and the P3 unit test binds the exact source blob and rejects placeholders/unsafe declarations. No coefficient solidity, CoefficientResidualHomTheorem, P3 availability, or broader CM4/CMDG authority is created by this synchronization commit.

fyremael · 2026-08-18T05:23:35Z

Current-main rebind — exact P3-E payload preserved

PR #465 has been synchronized to current protected main without rewriting the previously reviewed P3-E mathematical source.

protected base: 8d047721c1f54df77cfbd7773905b9fafba1faca
fresh candidate head: b4ba9c5d68cc72ad1ad83b0f7d51cbe4b5fdc608
exact P3-E source blob: 596d601b6056f2f45b7780fc693f091549c2b316 (unchanged)
current protected P3-G remains intact

The reconciliation adds P3-E as a separate Lean library, imports it into the current P3 audit so the existing pinned exact-tree replay compiles it, and adds a unit test binding the exact Git blob plus the no-placeholder/no-unsafe/no-instance boundary.

All prior exact-head review packets are superseded by this head movement. Fresh CI is running now; no review, merge, P3-availability, coefficient-solidity, or broader CM4/CMDG authority is asserted by this rebind.

Candidate disposition remains bounded to:

CANONICAL_FINITE_LIMIT_REDUCTION_CERTIFIED__COEFFICIENT_SOLIDITY_BLOCKING

Correct the current-workflow integration so P3-E is replayed only after the protected P2-E terminal modules have been materialized. Keep the generic P3 audit independent, extend the existing placeholder/IsSolid guards to P3-E, and replay P3-E before the protected P3-G stack. The exact P3-E mathematical source remains unchanged at blob 596d601.

fyremael · 2026-08-18T05:26:05Z

Superseding exact-head integration packet

The immediately prior rebind head b4ba9c5d68cc72ad1ad83b0f7d51cbe4b5fdc608 is superseded.

Fresh candidate head:

b9bbd19f3d0daadc192d3bdb9626d13d79764a91

Protected base remains:

8d047721c1f54df77cfbd7773905b9fafba1faca

The adjustment is workflow-order only: P3-E is no longer imported by the early generic audit. Instead, the current P3 workflow now (1) includes P3-E in its placeholder/unconditional-IsSolid guards, (2) verifies its terminal theorem markers, and (3) builds/replays P3-E after protected P2-E terminal materialization and P3-D, immediately before the protected P3-G replay chain.

The mathematical P3-E source remains byte-for-byte unchanged at Git blob 596d601b6056f2f45b7780fc693f091549c2b316.

All earlier exact-head review authority is superseded. Fresh CI for b9bbd19f... is now the operative machine gate.

fyremael · 2026-08-18T05:30:43Z

Fresh exact-head review packet — P3-E current-main recovery

Candidate head: b9bbd19f3d0daadc192d3bdb9626d13d79764a91
Protected base: 8d047721c1f54df77cfbd7773905b9fafba1faca
Exact P3-E source blob: 596d601b6056f2f45b7780fc693f091549c2b316

The branch is current with protected main and mergeable. The mathematical P3-E payload is unchanged from the previously reviewed source; current-main reconciliation is limited to registering the Lean target, restoring P3-E checks/replay in the evolved P3 workflow, and binding the exact source boundary in the P3 unit test.

Exact-head machine evidence

All PR-triggered workflows at b9bbd19f... are SUCCESS:

Programme policy checks — 32102836968
GCL conformance — 32102837808
Administrative maintenance dispatcher — 32102837030
CMDG condensed CM1 — 32102837193
CMDG condensed CM2 — 32102837185
CMDG condensed CM3 — 32102837042
CMDG solid C05 — 32102837088
CMDG condensed CM4 — 32102837037
CMDG condensed CM4 P2 — 32102836969
CMDG condensed CM4 P2-D — 32102836829
CMDG condensed CM4 P2-E — 32102836871
CMDG condensed CM4 P3 — 32102837165
CMDG NAT concordance — 32102837141
CMDG vertical spine V0 — 32102836796
CMDG Euclid bridge — 32102836932

Within P3 run 32102837165:

governed-record validation + mutation tests: SUCCESS;
exact-source/placeholder/accidental-promotion guards: SUCCESS;
pinned dependency verification: SUCCESS;
generic P3 audit: SUCCESS;
protected P2-E terminal materialization: SUCCESS;
P3-C replay: SUCCESS;
P3-D replay: SUCCESS;
P3-E canonical finite-limit reduction replay: SUCCESS;
full protected P3-G regression chain through finite Boolean coefficient-family pushforward: SUCCESS.

Claim boundary

This packet supports only the bounded candidate disposition:

CANONICAL_FINITE_LIMIT_REDUCTION_CERTIFIED__COEFFICIENT_SOLIDITY_BLOCKING

It does not prove CoefficientResidualHomTheorem, coefficient-object solidity, or P3 availability; it creates no P4/P5/P6, final CM4, arbitrary-ring, derived/complex, broader C04/C06, GRAPH_CERTIFIED, minimality/uniqueness, CM5, or global CMDG authority.

All approvals attached to earlier heads are non-operative for this exact-head packet. Fresh independent review is requested for b9bbd19f3d0daadc192d3bdb9626d13d79764a91.

Protected main advanced through administrative-maintenance changes only. Preserve the exact P3-E payload, including source blob 596d601. No claim expansion.

fyremael · 2026-08-18T07:55:00Z

Protected-main rebind — exact payload preserved

PR #465 has been rebound to current protected main after the protected branch advanced through administrative-maintenance/runtime/governance changes only.

protected base: 8381fb2345b7d226064f0d9cce12e73be2c7a584
exact candidate head: c93094fd26ad808adc9a805a0509ebc027160b0e
exact P3-E source blob: 596d601b6056f2f45b7780fc693f091549c2b316
candidate diff remains exactly four P3-E integration files
the P3-E mathematical source and the other three integration blobs were preserved exactly from the previously replayed head
no claim expansion

The jimsteeg approval submitted on b9bbd19f3d0daadc192d3bdb9626d13d79764a91 is superseded by this rebind and is non-operative for merge authority.

Fresh exact-head CI is now required. After it is green, a new exact-head review packet and independent review will be required.

Candidate disposition remains:

CANONICAL_FINITE_LIMIT_REDUCTION_CERTIFIED__COEFFICIENT_SOLIDITY_BLOCKING

P3 remains BLOCKING; this rebind creates no coefficient-solidity, P4/P5/P6, final-CM4, or broader CMDG authority.

fyremael · 2026-08-18T08:00:13Z

Fresh exact-head review packet — operative

Protected-main freshness has been rechecked after CI completion.

Identity

protected base: 8381fb2345b7d226064f0d9cce12e73be2c7a584
exact candidate head: c93094fd26ad808adc9a805a0509ebc027160b0e
exact P3-E source blob: 596d601b6056f2f45b7780fc693f091549c2b316
candidate diff: exactly four P3-E integration files
GitHub mergeability: clean/current with protected main

Fresh exact-head CI — all SUCCESS

Programme policy checks — 32113681480
GCL conformance — 32113682665
Administrative maintenance dispatcher — 32113681643
CMDG condensed CM1 — 32113681661
CMDG condensed CM2 — 32113681512
CMDG condensed CM3 — 32113681514
CMDG solid C05 — 32113681640
CMDG condensed CM4 — 32113681636
CMDG condensed CM4 P2 — 32113681454
CMDG condensed CM4 P2-D — 32113681390
CMDG condensed CM4 P2-E — 32113681666
CMDG condensed CM4 P3 — 32113681665
CMDG NAT concordance — 32113681600
CMDG vertical spine V0 — 32113681521
CMDG Euclid bridge — 32113681747

P3 exact replay
Run 32113681665 completed both jobs successfully. The formal job 95638383468 passed, in order:

proof-placeholder / accidental-promotion guard;
pinned Lean and exact dependency hashes;
formal audit;
protected P2-E terminal materialization;
P3-C replay;
P3-D replay;
P3-E canonical finite-limit replay;
all protected P3-G regression stages through finite Boolean coefficient-family pushforward.

The exact-tree validator job 95638383405 also passed the governed record, exact P3-E blob/source unit tests, and workflow-coverage validation.

Claim boundary
Candidate disposition remains:

CANONICAL_FINITE_LIMIT_REDUCTION_CERTIFIED__COEFFICIENT_SOLIDITY_BLOCKING

This head does not prove CoefficientResidualHomTheorem or coefficient-object solidity, installs no unconditional IsSolid instance, and does not mark P3 available. It creates no P4/P5/P6, final CM4, arbitrary-ring, derived/complex, broader C04/C06, GRAPH_CERTIFIED, dependency-minimality/uniqueness, CM5, or global CMDG authority.

The earlier jimsteeg approval on b9bbd19f3d0daadc192d3bdb9626d13d79764a91 is superseded and non-operative.

Requested adjudication: independent exact-head review of c93094fd26ad808adc9a805a0509ebc027160b0e. No merge authority is asserted by this packet.

fyremael · 2026-08-18T08:00:22Z

Independent review packet is comment 5325315949; review must bind exact head c93094fd26ad808adc9a805a0509ebc027160b0e.

fyremael had a problem deploying to release-trust August 12, 2026 10:20 — with GitHub Actions Failure

fyremael force-pushed the agent/cmdg-condensed-cm4-p3-d-001 branch from 1afe100 to d2c0f8a Compare August 12, 2026 10:32

Base automatically changed from agent/cmdg-condensed-cm4-p3-d-001 to main August 12, 2026 11:00

CMDG CM4-P3-E: certify canonical finite-limit reduction

3027daf

fyremael changed the title ~~CMDG-CONDENSED-CM4-P3-E-001: construct Nöbeling product reduction~~ CMDG-CONDENSED-CM4-P3-E-001: certify canonical finite-limit reduction Aug 12, 2026

fyremael force-pushed the agent/cmdg-condensed-cm4-p3-e-001 branch from 276c846 to 3027daf Compare August 12, 2026 11:16

fyremael had a problem deploying to release-trust August 12, 2026 11:16 — with GitHub Actions Error

fix(cm4-p3-e): project ModuleCat morphisms to linear maps

8bf4d9e

fyremael had a problem deploying to release-trust August 12, 2026 11:41 — with GitHub Actions Error

chore(cm4-p3-e): remove stale Nöbeling pin checks

3ce1b2d

fyremael had a problem deploying to release-trust August 12, 2026 11:44 — with GitHub Actions Failure

fix(cm4-p3-e): normalize finite-family linearity goals

61015b3

fyremael had a problem deploying to release-trust August 12, 2026 11:50 — with GitHub Actions Error

fix(cm4-p3-e): infer scalar action from projection map

5fea910

fyremael had a problem deploying to release-trust August 12, 2026 11:56 — with GitHub Actions Failure

fix(cm4-p3-e): use canonical LinearMap.pi lift

e5f0ef7

fyremael had a problem deploying to release-trust August 12, 2026 12:02 — with GitHub Actions Error

fix(cm4-p3-e): prove product lift coordinatewise

0e3ca36

fyremael had a problem deploying to release-trust August 12, 2026 12:13 — with GitHub Actions Failure

fix(cm4-p3-e): reduce wrapped coordinate equations

f5dc022

fyremael had a problem deploying to release-trust August 12, 2026 12:24 — with GitHub Actions Failure

Fix P3-E cone elaboration

0c43381

fyremael had a problem deploying to release-trust August 12, 2026 12:48 — with GitHub Actions Error

Align P3-E coefficient naturality

727b236

fyremael had a problem deploying to release-trust August 12, 2026 12:54 — with GitHub Actions Failure

fyremael marked this pull request as ready for review August 12, 2026 12:58

fyremael requested review from a team as code owners August 12, 2026 12:58

fyremael had a problem deploying to release-trust August 12, 2026 12:58 — with GitHub Actions Failure

fyremael mentioned this pull request Aug 12, 2026

PRVSR Phase 1: repair Release Trust credential split (#471) #473

Merged

This was referenced Aug 12, 2026

PRVSR-PHASE1-CREDENTIAL-REPAIR-001 — split read/admin/publisher credentials #471

Closed

PRVSR Phase 1: repair PR conversation publisher authority (#471) #488

Merged

Merge branch 'main' into agent/cmdg-condensed-cm4-p3-e-001

41b381a

fyremael had a problem deploying to release-trust August 12, 2026 23:12 — with GitHub Actions Error

This was referenced Aug 13, 2026

PRVSR operator: repair exact index ref readback (#489) #491

Merged

PRVSR-OPERATOR-SURFACE-001 — deterministic Pages dashboard over retained PRVSR state #489

Closed

fyremael dismissed jimsteeg’s stale review via b4ba9c5 August 18, 2026 05:22

fyremael deployed to release-trust August 18, 2026 05:22 — with GitHub Actions Active

fyremael deployed to release-trust August 18, 2026 05:25 — with GitHub Actions Active

fyremael requested a review from jimsteeg August 18, 2026 05:26

jimsteeg approved these changes Aug 18, 2026

View reviewed changes

jimsteeg deployed to release-trust August 18, 2026 05:45 — with GitHub Actions Active

CMDG P3-E: rebind to protected main 8381fb2

c93094f

Protected main advanced through administrative-maintenance changes only. Preserve the exact P3-E payload, including source blob 596d601. No claim expansion.

fyremael deployed to release-trust August 18, 2026 07:54 — with GitHub Actions Active

fyremael requested a review from jimsteeg August 18, 2026 08:01

jimsteeg approved these changes Aug 18, 2026

View reviewed changes

jimsteeg deployed to release-trust August 18, 2026 08:09 — with GitHub Actions Active

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CMDG-CONDENSED-CM4-P3-E-001: certify canonical finite-limit reduction - #465

CMDG-CONDENSED-CM4-P3-E-001: certify canonical finite-limit reduction#465
fyremael wants to merge 15 commits into
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Purpose

Protected baseline

Current protected rebind

Formal route

Claim boundary

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Advisory visual status report — PRVSR-LIVE-PR465-c93094fd26ad-20260818081011

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fyremael commented Aug 13, 2026

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fyremael commented Aug 18, 2026

Current-main rebind — exact P3-E payload preserved

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fyremael commented Aug 18, 2026

Superseding exact-head integration packet

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fyremael commented Aug 18, 2026

Fresh exact-head review packet — P3-E current-main recovery

Exact-head machine evidence

Claim boundary

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fyremael commented Aug 18, 2026

Protected-main rebind — exact payload preserved

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fyremael commented Aug 18, 2026

Fresh exact-head review packet — operative

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Advisory visual status report — `PRVSR-LIVE-PR465-c93094fd26ad-20260818081011`