:orphan:

*********************************************************************
PROMY:REAP Full Audit --- e7He --- 2026-03-30
*********************************************************************

:Model: e7He (7-Stage Hero Journey)
:Date: 2026-03-30
:Auditor: Claude Opus 4.6 (max effort)
:Trigger: PROMY:REAP Step 1
:Directory: ``source/matheology/model/e7he/``
:Purpose: Full consistency audit before writing overview pages.
   This file is stored for regression diffing: the next audit can be
   compared line-by-line to detect what changed between PROMY runs.


1. File Completeness
======================

Files present (11 total):

.. list-table::
   :header-rows: 1
   :widths: 35 10 55

   * - File
     - Present
     - Notes
   * - index.rst
     - yes
     - Toctree includes all 10 content files + silent-corruption
   * - 1st-intro.rst
     - yes
     - ~410 lines, 7 stages + structural echo table
   * - axioms.rst
     - yes
     - 14 axioms (7 m0 + 7 stage), post-GROW repairs applied
   * - theorems.rst
     - yes
     - 7 theorems + 3 structural properties, post-GROW repairs applied
   * - models.rst
     - yes
     - Submodel table (m0--m9 including reserved slots)
   * - logics.rst
     - yes
     - 5 inherited + 5 added disciplines, Iron Maiden coverage table
   * - predicates.rst
     - yes
     - 42 predicates in 3 groups (m0, stage, theorem)
   * - symbols.rst
     - yes
     - 10 sections, notation note for H ambiguity
   * - aa.rst
     - yes
     - 9 operational + 2 adversarial items
   * - llog.rst
     - yes
     - FORGE + PROMY session pointers
   * - silent-corruption/index.rst
     - yes
     - Formal version of the 7-stage corruption analysis

Files expected missing (to be created by REAP):

- overview-beginner.rst
- overview-producer.rst
- overview-expert.rst


2. Predicate Coverage
=======================

Every predicate name used in a ``.. math::`` block in axioms.rst
and theorems.rst was checked against predicates.rst.

m0 Axiom Predicates (axioms.rst --> predicates.rst)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.. list-table::
   :header-rows: 1
   :widths: 30 12 12 10

   * - Predicate
     - Used in
     - Predicate #
     - Status
   * - profile(h)
     - m0.ax1
     - #1
     - OK
   * - FATE(h, t)
     - m0.ax2, m0.ax4, m0.ax5
     - #2
     - OK
   * - accepts(h, FATE)
     - m0.ax2
     - #3
     - OK
   * - GOAL(h)
     - m0.ax3
     - #4
     - OK
   * - pursuing(h, GOAL)
     - m0.ax3
     - #5
     - OK
   * - DESTINY(h, t)
     - m0.ax4, m0.ax5
     - #6
     - OK
   * - self-assessment(h, t) = NOT-OK
     - m0.ax5
     - #7
     - OK
   * - rest(h, k)
     - m0.ax5
     - #8
     - OK
   * - stops(h, t)
     - m0.ax6, m0.ax7
     - #9
     - OK
   * - influence-low (\|beta\| < theta)
     - m0.ax6
     - #10
     - OK
   * - influence-high (\|beta\| > theta)
     - m0.ax7
     - #11
     - OK


Stage Axiom Predicates (axioms.rst --> predicates.rst)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.. list-table::
   :header-rows: 1
   :widths: 30 12 12 10

   * - Predicate
     - Used in
     - Predicate #
     - Status
   * - accepts(h, complexity(GOAL))
     - m1.ax
     - #12
     - OK
   * - commits(h, journey)
     - m1.ax
     - #13
     - OK
   * - skills(h, t) increase
     - m2.ax
     - #14
     - OK
   * - endurance-tested(h)
     - m2.ax
     - #15
     - OK
   * - holds-advantage(h)
     - m3.ax
     - #16
     - OK
   * - captured-by(h, advantage)
     - m3.ax (negated)
     - #17
     - OK
   * - CWA(h, t)
     - m4.ax
     - #18
     - OK
   * - false-self-died(h)
     - m4.ax (ZION)
     - #19
     - OK
   * - deeper-BABL-servant(h)
     - m4.ax (BABL)
     - #20
     - OK
   * - received-without-entitlement(h)
     - m5.ax
     - #21
     - OK
   * - shared-without-grasping(h)
     - m5.ax
     - #22
     - OK
   * - gift-alive-in-others-hands(h)
     - m6.ax
     - #23
     - OK
   * - institutional-capture(gift)
     - m6.ax (negated)
     - #24
     - OK
   * - full-BABL-resisted(h)
     - m7.ax (ZION)
     - #25
     - OK
   * - open-to-next-call(h)
     - m7.ax (ZION)
     - #26
     - OK
   * - insights-weaponized(h)
     - m7.ax (BABL)
     - #27
     - OK
   * - Machiavelli-Prince(h)
     - m7.ax (BABL)
     - #28
     - OK


Theorem Predicates (theorems.rst --> predicates.rst)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.. list-table::
   :header-rows: 1
   :widths: 30 12 12 10

   * - Predicate
     - Used in
     - Predicate #
     - Status
   * - completes-cycle(h)
     - th1, th3
     - #29
     - OK
   * - babl-resisted(h, m_k)
     - th1, th3
     - #30
     - OK
   * - irrevocable-NOT-OK(h)
     - th6
     - #31
     - OK
   * - genuine(h)
     - th6
     - #32
     - OK
   * - transparent(h)
     - th6, th7
     - #33
     - OK
   * - flawed(h)
     - th6
     - #34
     - OK
   * - sufficiently-convincing-case(h*)
     - th5
     - #35
     - OK
   * - perpetual-cycle(h, HeroJourney)
     - th6 Case 3
     - #36
     - OK
   * - claims-irrevocable-NOT-OK(h)
     - th6 Case 2
     - #37
     - OK
   * - transparency-test(h)
     - th6 Case 2
     - #38
     - OK
   * - system-operates-Case-3(t1, t2)
     - th7
     - #39
     - OK
   * - can-be-tested(h, standards)
     - th7
     - #40
     - OK
   * - rest-adequate(h, k)
     - th3 (GROW repair)
     - #41
     - OK
   * - goal-pursued(h, k)
     - th3 (GROW repair)
     - #42
     - OK

**Verdict: 42/42 predicates documented. COMPLETE.**


3. Symbol Coverage
====================

Every symbol used in ``.. math::`` blocks was checked against
symbols.rst sections.

.. list-table::
   :header-rows: 1
   :widths: 20 30 25 10

   * - Symbol
     - symbols.rst Section
     - BEST Name
     - Status
   * - h, h', H
     - Agents
     - human, Humanity
     - OK
   * - h*
     - Agents
     - h-star
     - OK
   * - h_0, Fake-h_0
     - Agents
     - h-zero, Fake-h-zero
     - OK
   * - t
     - Time and Cycles
     - time
     - OK
   * - k
     - Time and Cycles
     - cycle
     - OK
   * - m_k
     - Stages and Structure
     - stage(k)
     - OK
   * - mu_k
     - Stages and Structure
     - milestone(k)
     - OK
   * - J_k
     - Stages and Structure
     - segment(k)
     - OK
   * - B
     - BABL Domain
     - BABL-space
     - OK
   * - b(m_k)
     - BABL Domain
     - temptation(k)
     - OK
   * - Ie
     - Insight Evolution
     - insight
     - OK
   * - alpha / Ipursuit
     - Insight Evolution
     - Ipursuit(t)
     - OK
   * - beta [Ie] / Iserendipity
     - Insight Evolution
     - Iserendipity(t)
     - OK
   * - gamma / Idecay
     - Insight Evolution
     - Idecay(t)
     - OK
   * - beta(h,s,t)
     - Bifurcation and Influence
     - bif(h,s,t)
     - OK
   * - \|beta\|
     - Bifurcation and Influence
     - influence(h)
     - OK
   * - theta
     - Bifurcation and Influence
     - influence-threshold
     - OK
   * - V(h,t)
     - Stability
     - stability(h,t)
     - OK
   * - lambda
     - Stability
     - oscr-weight
     - OK
   * - A
     - Scope
     - areas
     - OK
   * - R(a)
     - Scope
     - depth-limit(a)
     - OK
   * - G, W
     - Inherited (PET/JUB)
     - God, World
     - OK
   * - D_f, D_free, D_inno
     - Inherited (PET/JUB)
     - domain-fixed, etc.
     - OK
   * - t_0^k, t_f^k, t_stop
     - Time Indexing
     - cycle-start, cycle-end, stop-time
     - OK
   * - profile, state, FATE, GOAL, DESTINY, etc.
     - Functions
     - (12 entries)
     - OK
   * - logical operators (14)
     - Logical Operators
     - (standard)
     - OK

**H ambiguity:** H is used as both Humanity (agent set, ``for all h in H``)
and Shannon entropy (function, ``H(GOAL(h, t)) > 0``). Documented in
notation note at symbols.rst lines 436--451. Tracked in AA-e7He-SymbolH-a1
and cross-model AA-PROMY-SymbolConflicts-a1.

**Inherited unused symbols:** G, W, D_f, D_free, V, lambda, A, R(a) are
in symbols.rst but not in e7He math blocks. Kept for cross-model coherence
per AA-e7He-SymbolGaps-a1.

**Verdict: ALL symbols documented. COMPLETE.**


4. Reference Labels
=====================

Labels defined in e7He files
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

**axioms.rst (15 labels):**

- ``e7he-axioms`` (file-level)
- ``e7he-m0-ax1`` through ``e7he-m0-ax7`` (7 prerequisite axioms)
- ``e7he-m1-ax`` through ``e7he-m7-ax`` (7 stage axioms)

**theorems.rst (11 labels):**

- ``e7he-theorems`` (file-level)
- ``e7he-th1`` through ``e7he-th7`` (7 theorems)
- ``e7he-sp1``, ``e7he-sp2``, ``e7he-sp3`` (3 structural properties)

**1st-intro.rst (9 labels):**

- ``e7he-1st-intro`` (file-level)
- ``e7he-acd-1st-intro`` through ``e7he-fre-1st-intro`` (7 stages)
- ``e7he-echo-1st-intro`` (structural echo table)

**Other files (6 labels):**

- ``e7he-models`` (models.rst)
- ``e7he-logics`` (logics.rst)
- ``e7he-llog`` (llog.rst)
- ``e7he-aa`` (aa.rst)
- ``e7he-notation-note`` (symbols.rst)
- ``e7he-silent-corruption-formal`` (silent-corruption/index.rst)

**Total: 41 labels.**

External references checked
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

All ``:ref:`` links from e7He files to external targets resolve:

- ``babl-1st-intro``, ``babl-ba-1st-intro``, ``babl-ash-1st-intro``,
  ``babl-mol-1st-intro`` --- BABL model
- ``e7tr-amo-1st-intro`` and 6 other e7Tr role labels --- e7Tr model
- ``e7ch-eph-1st-intro`` and 6 other e7Ch stage labels --- e7Ch model
- ``aa-promy-symbol-conflicts-a1`` --- PROMY AA
- ``babl-pipeline-1st-intro`` --- BABL pipeline

**Verdict: NO broken references. COMPLETE.**


5. vvnow Annotation Format
=============================

.. list-table::
   :header-rows: 1
   :widths: 35 45 10

   * - File
     - Annotation
     - Format OK
   * - predicates.rst:10
     - ``.. vvnow dv_ClaOp46Max_OOv2_2026m03d29``
     - OK (no colon)
   * - symbols.rst:10
     - ``.. vvnow dv_ClaOp46Max_OOv2_2026m03d29``
     - OK (no colon)

Other e7He files (axioms.rst, theorems.rst, models.rst, logics.rst,
1st-intro.rst, aa.rst, llog.rst, silent-corruption/index.rst): no
vvnow annotation present. This is expected --- vvnow was added during
SEED/FEED only to files that were newly created with formal content.

**Verdict: CORRECT FORMAT. No colons.**


6. Prose-Math Alignment (Post-GROW)
======================================

Each axiom and theorem was checked: does the prose description
accurately reflect the math block, especially after GROW repairs?

GROW-repaired statements (critical checks)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

**m0.ax3 (GOAL Calling) --- Repair 1:**

- Math says: ``contributes positively to dIe_W/dt`` and
  ``locally optimal for h's comparative advantage``
- Prose says: "Every agent has a GOAL in the innovation domain.
  The GOAL is partially unknown (positive entropy) and
  progressively revealed."
- **Match: OK.** Prose describes the GOAL concept; math specifies
  the Ie contribution. Prose does NOT contain "maximizes" (the
  pre-repair word). Consistent.

**e7He.th3 (Scope Expansion) --- Repair 2:**

- Math says: ``completes-cycle ∧ babl-resisted ∧ rest-adequate
  ∧ goal-pursued → Ie_H(t_f^k) > Ie_H(t_0^k)``
- Integral says: ``∫(Ipursuit + Iserendipity - Idecay) dt > 0``
- Prose says: "Each completed cycle produces net positive Ie
  growth, PROVIDED the hero resisted BABL at every stage, rested
  adequately, and pursued their GOAL."
- Condition-to-term mapping in prose: goal-pursued → Ipursuit > 0,
  babl-resisted → Iserendipity >= 0, rest-adequate → Idecay bounded.
- **Match: OK.** All three conditions, the integral with BEST Names,
  and the mapping are present and consistent.

**m0.ax5 (Perpetual Reset) --- OKO to NOT-OK:**

- Math says: ``self-assessment(h, t_0^{k+1}) = NOT-OK``
- Prose says: "The hero MUST enter the new cycle with NOT-OK
  self-assessment ('I should assume the worst about myself that
  can't be disproven')."
- **Match: OK.** No residual "OKO" in math or prose.

Unrepaired statements (spot checks)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

**m0.ax1 (Uniqueness):** Math: unique profile. Prose: "Every agent
has a unique profile." **OK.**

**m0.ax2 (FATE):** Math: FATE = state at cycle start, accepts
required. Prose: "FATE is the agent's full state at cycle start...
requires acceptance." **OK.**

**m0.ax4 (Cycle):** Math: 7-stage FATE to DESTINY. Prose: "the
7-stage transition from FATE to DESTINY." **OK.**

**m0.ax6 (Irrelevance):** Math: stops ∧ low influence → Ie
stagnates. Prose: "becomes irrelevant." **OK.**

**m0.ax7 (Supervillain):** Math: stops ∧ high influence → scope
stagnates + friendly-fire. Prose: "becomes a supervillain." **OK.**

**th1 (Inoculation):** Math: completes-cycle → all BABL resisted.
Prose: "has faced and resisted every non-zero combination." **OK.**

**th2 (Supervillain formal):** Math: stops on ridge → BABL drift.
Prose: "Stopping on the ridge with high influence leads to BABL
drift." **OK.** (Verified against llog original during GROW.)

**th4 (Productivity):** Math: step function productive. Prose:
"every milestone produces a non-trivial journey segment." **OK.**

**th6 (Commitment Trichotomy):** Three math blocks for three cases.
Prose derivation sketch matches. **OK.**

**Verdict: ALL checked statements consistent. COMPLETE.**


7. AA Status
==============

.. list-table::
   :header-rows: 1
   :widths: 28 12 50

   * - Item
     - Status
     - Notes
   * - AA-e7He-Overview-a1
     - PENDING
     - Write 3 overview pages. (Resolved by this REAP run.)
   * - AA-e7He-PredicateSpec-a1
     - RESOLVED
     - vvnow:: fixed to vvnow (2026-03-30)
   * - AA-e7He-SymbolsVvnow-a1
     - RESOLVED
     - Same fix (2026-03-30)
   * - AA-e7He-LLogLabels-a1
     - OPEN
     - Duplicate labels in llog and extracted files. Low priority.
       Deferred to llog migration.
   * - AA-e7He-M8M9-a1
     - OPEN
     - m8/m9 reservation rationale undocumented. Low priority.
   * - AA-e7He-SymbolGaps-a1
     - RESOLVED
     - Filled during FEED (2026-03-30)
   * - AA-e7He-SymbolH-a1
     - RESOLVED
     - Notation note added. Cross-model tracked separately.
   * - AA-e7He-RenamedVars-a1
     - RESOLVED
     - Applied in th3 integral during GROW (2026-03-30)
   * - AA-e7He-GrowPredicates-a1
     - RESOLVED
     - Predicates #41-42 added during GROW (2026-03-30)
   * - AA-e7He-LateTheorems-a1
     - OPEN (HIGH)
     - th6+th7 need dedicated TEMPER round. Not yet scheduled.
   * - AA-e7He-Lyapunov-a1
     - OPEN (MEDIUM)
     - th2 Lyapunov formalization deferred to future STRIKE.

**Summary: 6 resolved, 1 pending (overviews), 2 open low, 2
adversarial (1 high, 1 medium).**


8. Index.rst Toctree
======================

Current toctree entries::

  1st-intro
  axioms
  theorems
  models
  logics
  predicates
  symbols
  silent-corruption/index
  aa
  llog

All 10 entries correspond to existing files. The 3 overview pages
are not yet in the toctree (expected: added after REAP creates them).

**Verdict: COMPLETE for existing files.**