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):

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)#

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)#

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)#

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.

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#

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#

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.