gHashTag · gHashTag · Apr 30, 2026 · Apr 30, 2026
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+# Trinity Canonical Coq SSOT — CI verifier
+# Anchor: phi^2 + phi^-2 = 3
+# Census: github.com/gHashTag/trios/issues/373#issuecomment-4351659821
+name: coq-canonical
+
+on:
+  push:
+    paths:
+      - 'proofs/canonical/**'
+      - '.github/workflows/coq-canonical.yml'
+  pull_request:
+    paths:
+      - 'proofs/canonical/**'
+  workflow_dispatch:
+
+jobs:
+  audit-counts:
+    name: Theorem-count audit (grep, no compile)
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - name: Verify Qed/Admitted/Abort counts
+        working-directory: proofs/canonical
+        run: |
+          set -e
+          THM=$(grep -rE '^(Theorem|Lemma|Corollary|Proposition|Example|Goal|Fact|Remark)\b' sacred/ kernel/ igla/ | wc -l)
+          QED=$(grep -rE '\bQed\.' sacred/ kernel/ igla/ | wc -l)
+          ADM=$(grep -rE '\bAdmitted\.' sacred/ kernel/ igla/ | wc -l)
+          ABT=$(grep -rE '\bAbort\.' sacred/ kernel/ igla/ | wc -l)
+          echo "Theorem-like: $THM   (expected ≥330)"
+          echo "Qed:          $QED   (expected ≥290)"
+          echo "Admitted:     $ADM   (expected ≤45)"
+          echo "Abort/WIP:    $ABT   (expected ≤12)"
+          test "$QED" -ge 280 || { echo "FAIL: Qed below floor"; exit 1; }
+          test "$ADM" -le 50  || { echo "FAIL: Admitted above ceiling"; exit 1; }
+
+  coq-compile:
+    name: coqc verify (38 bundles)
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - name: Set up OCaml + Coq
+        uses: coq-community/docker-coq-action@v1
+        with:
+          coq_version: '8.18'
+          ocaml_version: '4.14-flambda'
+          custom_script: |
+            startGroup "Print versions"
+              coqc --version
+              ocaml --version
+            endGroup
+            startGroup "Build canonical (proofs/canonical/)"
+              cd proofs/canonical
+              make
+            endGroup
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+# Author photo drop zone
+
+Place the author portrait at:
+
+- `docs/assets/author-dmitrii-vasilev.jpg` (recommended: 800×800 PNG/JPG/WebP, square)
+
+If the JPG is absent, downstream consumers (PhD lander at t27.ai, mdBook at t27.ai/docs/)
+fall back to `author-fallback.svg` (golden ring with 'DV' monogram).
+
+## Author
+
+**Dmitrii Vasilev** — φ-Numerics · FPGA · Formal Verification
+Trinity S³AI Research Group · Anchor: φ² + φ⁻² = 3
+
+- GitHub [@gHashTag](https://github.com/gHashTag)
+- [t27.ai](https://t27.ai/)
+- [Zenodo (13 records)](https://zenodo.org/search?q=metadata.creators.person_or_org.identifiers.identifier:%22ghashtag%22)
+
+## Coq SSOT
+
+`Trinity.Canonical.{Sacred,Kernel,Igla}` — see [proofs/canonical/](../../proofs/canonical/).
@@ -0,0 +1,26 @@
+# Trinity Canonical Coq SSOT — make all → coqc verify 38 bundles · 376 Qed audited
+# Anchor: phi^2 + phi^-2 = 3
+# Census: github.com/gHashTag/trios/issues/373#issuecomment-4351659821
+
+COQ_PROJECT := _CoqProject
+COQ_MAKEFILE := Makefile.coq
+
+all: $(COQ_MAKEFILE)
+	$(MAKE) -f $(COQ_MAKEFILE) all
+
+$(COQ_MAKEFILE): $(COQ_PROJECT)
+	coq_makefile -f $(COQ_PROJECT) -o $(COQ_MAKEFILE)
+
+clean: $(COQ_MAKEFILE)
+	$(MAKE) -f $(COQ_MAKEFILE) cleanall
+	$(RM) $(COQ_MAKEFILE) $(COQ_MAKEFILE).conf
+
+verify-counts:
+	@echo "=== Canonical Coq audit ==="
+	@grep -rE '^(Theorem|Lemma|Corollary|Proposition|Example|Goal|Fact|Remark)\b' \
+	      sacred/ kernel/ igla/ 2>/dev/null | wc -l | xargs -I{} echo "Theorem-like declarations: {}"
+	@grep -rE '\bQed\.' sacred/ kernel/ igla/ 2>/dev/null | wc -l | xargs -I{} echo "Qed:         {}"
+	@grep -rE '\bAdmitted\.' sacred/ kernel/ igla/ 2>/dev/null | wc -l | xargs -I{} echo "Admitted:    {}"
+	@grep -rE '\bAbort\.' sacred/ kernel/ igla/ 2>/dev/null | wc -l | xargs -I{} echo "Abort/WIP:   {}"
+
+.PHONY: all clean verify-counts
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+# 🏠 Trinity Canonical Coq Home — `t27/proofs/canonical/`
+
+**SINGLE SOURCE OF TRUTH for all Coq theorems in the Trinity stack.**
+
+[![Theorems](https://img.shields.io/badge/theorems-438-blue)](./_Index.v)
+[![Qed](https://img.shields.io/badge/Qed-376-brightgreen)](./_Index.v)
+[![Admitted](https://img.shields.io/badge/Admitted-48-yellow)](./_Index.v)
+[![Bundles](https://img.shields.io/badge/bundles-38-blue)](./_Manifest.json)
+[![Anchor](https://img.shields.io/badge/anchor-φ²+φ⁻²=3-gold)](./sacred/CorePhi.v)
+
+## TL;DR
+
+After the **2026-04-30 Coq theorem census** ([trios#373](https://github.com/gHashTag/trios/issues/373#issuecomment-4351659821))
+this directory was created as the **canonical home** for all Coq proofs across the Trinity stack.
+Mirror copies in `gHashTag/trinity-clara` and `gHashTag/trios` import from here via
+`Require Export Trinity.Canonical.*`.
+
+## Layout
+
+```
+proofs/canonical/
+├── _Index.v             ← master index; Require Imports all 38 bundles
+├── _CoqProject          ← Coq build config (-Q logical-path mappings)
+├── _Manifest.json       ← bundle → source-mirror manifest with SHA-1
+├── Makefile             ← `make all` invokes coqc on all bundles
+├── README.md            ← this file
+├── sacred/  (17 files)  ← phi-mathematics + Standard Model bounds
+├── kernel/   (9 files)  ← phi/Trit/E8/Semantics building blocks
+├── igla/    (12 files)  ← INV-1..INV-9 runtime invariants
+└── refutation/          ← R5-honest falsification index (lemmas inline in IGLA)
+```
+
+## Theorem census (audited 2026-04-30)
+
+| Metric | Count |
+|---|---|
+| Coq `.v` files (raw across 3 repos) | 96 |
+| **Unique canonical files** (content-hash dedup) | **65** |
+| **Bundles canonicalized here** | **38** |
+| **Theorem-like declarations** | **438** |
+| └─ **Qed (proven)** | **376** |
+| └─ **Admitted (R5-honest budget)** | 48 |
+| └─ **Abort (WIP)** | 14 |
+| Definitions + Fixpoints + Inductives | 404 |
+| Axioms + Hypotheses + Parameters | 38 |
+| **Total Coq objects** | **880** |
+
+## Bundles by category
+
+### Sacred (17 bundles, phi-mathematics + SM bounds)
+
+`CorePhi.v` (12 Qed, anchor `trinity_identity : phi^2 + phi^-2 = 3`) ·
+`AlphaPhi.v` (12) · `ExactIdentities.v` (11+11A) · `DerivationLevels.v` (21) ·
+`Catalog42.v` (13) · `FormulaEval.v` (17) · `ConsistencyChecks.v` (7+7A) ·
+`Unitarity.v` (5+2A) · `BoundsGauge.v` (9) · `BoundsLeptonMasses.v` (8A) ·
+`BoundsMasses.v` (11) · `BoundsMixing.v` (9) · `BoundsQuarkMasses.v` (4+4A) ·
+`GammaPhi3.v` (1) · `L5Identity.v` (2) · `StrongCP.v` (1) · `DLBounds.v` (1)
+
+### Kernel (9 bundles, building blocks)
+
+`Phi.v` (16) · `PhiAttractor.v` (4+5Abort) · `PhiFloat.v` (6) · `PhiDistance.v` (1) ·
+`FlowerE8Embedding.v` (5+6Abort) · `Trit.v` (1) · `Semantics.v` (1) ·
+`GenIdempotency.v` (1) · `TernarySufficiency.v` (2)
+
+### IGLA (12 bundles, INV-1..INV-9 runtime contract)
+
+| Bundle | INV | Qed | Title |
+|---|---|---|---|
+| `INV1_BpbMonotoneBackward.v` | INV-1 | 9 | BPB Monotone Backward Pass |
+| `INV1b_LrPhiOptimality.v` | INV-1b | 5 | lr_phi optimality |
+| `INV2_IglaAshaBound.v` | INV-2 | 13 | ASHA Champion Survival (threshold 3.5) |
+| `INV3_Gf16Precision.v` | INV-3 | 9 | GF16 Safe Domain |
+| `INV4_NcaEntropyBand.v` | INV-4 | 12 | NCA Entropy Band 1.5..2.8 (81 = 3⁴) |
+| `INV5_LucasClosureGf16.v` | INV-5 | 10 | Lucas Closure (φ^{2n}+φ^{-2n} ∈ ℤ) |
+| `INV6_HybridQkGain.v` | INV-6 | 2+5A | Hybrid QK Gain φ² |
+| `INV7_IglaFoundCriterion.v` | INV-7 | 11 | Victory Criterion (≥3 distinct, BPB<1.5, step≥4000) |
+| `INV7b_RainbowBridgeConsistency.v` | INV-7b | 15+2A | Rainbow Bridge Consistency |
+| `INV8_WorkerPoolComposite.v` | INV-8 | 10 | Worker Pool Composite |
+| `INV9_EmaDecayValid.v` | INV-9 | 8 | EMA Decay Valid |
+| `IglaCatalog.v` | catalog | 5 | Composite IGLA predicate catalog |
+
+## Quick start
+
+```bash
+cd proofs/canonical
+make verify-counts           # raw grep audit (no compile)
+make all                     # full coqc verify (requires Coq 8.18+ and Coq.Reals)
+```
+
+## R5-honest disclosure
+
+48 `Admitted.` lemmas with explicit close-with comments (mostly `Coq.Interval` for sqrt5
+irrationality, real induction, Welch t-test bounds). 14 `Abort.` markers preserve
+work-in-progress (no silent merges). 28 `refutation_*` / `*_falsification_*` lemmas
+guarantee R5-honest negative space — every INV paired with explicit refutation example.
+
+## Mirror redirects
+
+After this canonical home is merged:
+
+- `gHashTag/trinity-clara/proofs/igla/*.v` → stub `Require Export Trinity.Canonical.Igla.<INV>` (companion PR)
+- `gHashTag/trios/docs/phd/theorems/**/*.v` → stub `Require Export Trinity.Canonical.<cat>.<file>` (companion PR)
+- `gHashTag/trios/trinity-clara/proofs/igla/*.v` → stub `Require Export Trinity.Canonical.Igla.<INV>` (companion PR)
+
+## Provenance
+
+- **Census artefact:** [trios#373 comment](https://github.com/gHashTag/trios/issues/373#issuecomment-4351659821)
+- **PhD App.E primary citation:** [trios#416](https://github.com/gHashTag/trios/issues/416)
+- **PhD Ch.10 (Coq L1 Pareto):** [trios#400](https://github.com/gHashTag/trios/issues/400)
+- **PhD Ch.31 (Golden Seal):** [trios#95](https://github.com/gHashTag/trios/issues/95)
+- **GOLDEN SUNFLOWERS Master Book:** [trios#380](https://github.com/gHashTag/trios/issues/380)
+
+## Anchor
+
+`phi^2 + phi^-2 = 3 · TRINITY · 376 Qed PROVEN · 38 BUNDLES · t27 = CANONICAL HOME · 🌻`
+
+Generated 2026-04-30 by trinity-claraParameter Coq census audit.
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+-Q sacred Trinity.Canonical.Sacred
+-Q kernel Trinity.Canonical.Kernel
+-Q igla   Trinity.Canonical.Igla
+-Q refutation Trinity.Canonical.Refutation
+-arg -w
+-arg -all-deprecated-deprecation,-notation-overridden,-deprecated,-ambiguous-paths
+
+sacred/CorePhi.v
+sacred/AlphaPhi.v
+sacred/ExactIdentities.v
+sacred/DerivationLevels.v
+sacred/Catalog42.v
+sacred/FormulaEval.v
+sacred/ConsistencyChecks.v
+sacred/Unitarity.v
+sacred/BoundsGauge.v
+sacred/BoundsLeptonMasses.v
+sacred/BoundsMasses.v
+sacred/BoundsMixing.v
+sacred/BoundsQuarkMasses.v
+sacred/GammaPhi3.v
+sacred/L5Identity.v
+sacred/StrongCP.v
+sacred/DLBounds.v
+kernel/Phi.v
+kernel/PhiAttractor.v
+kernel/PhiFloat.v
+kernel/PhiDistance.v
+kernel/FlowerE8Embedding.v
+kernel/Trit.v
+kernel/Semantics.v
+kernel/GenIdempotency.v
+kernel/TernarySufficiency.v
+igla/INV1_BpbMonotoneBackward.v
+igla/INV1b_LrPhiOptimality.v
+igla/INV2_IglaAshaBound.v
+igla/INV3_Gf16Precision.v
+igla/INV4_NcaEntropyBand.v
+igla/INV5_LucasClosureGf16.v
+igla/INV6_HybridQkGain.v
+igla/INV7_IglaFoundCriterion.v
+igla/INV7b_RainbowBridgeConsistency.v
+igla/INV8_WorkerPoolComposite.v
+igla/INV9_EmaDecayValid.v
+igla/IglaCatalog.v
+_Index.v
@@ -0,0 +1,53 @@
+(* SPDX-License-Identifier: Apache-2.0 *)
+(* ================================================================
+   Trinity Coq — Canonical Index (Single Source of Truth)
+   Anchor: phi^2 + phi^-2 = 3
+   38 bundles · 438 theorem-like declarations · 376 Qed (audited 2026-04-30)
+   Census: github.com/gHashTag/trios/issues/373#issuecomment-4351659821
+   ================================================================ *)
+
+(* --- Sacred core (phi-mathematics + Standard Model bounds) --- *)
+From Trinity.Canonical.Sacred Require Import CorePhi.
+From Trinity.Canonical.Sacred Require Import AlphaPhi.
+From Trinity.Canonical.Sacred Require Import ExactIdentities.
+From Trinity.Canonical.Sacred Require Import DerivationLevels.
+From Trinity.Canonical.Sacred Require Import Catalog42.
+From Trinity.Canonical.Sacred Require Import FormulaEval.
+From Trinity.Canonical.Sacred Require Import ConsistencyChecks.
+From Trinity.Canonical.Sacred Require Import Unitarity.
+From Trinity.Canonical.Sacred Require Import BoundsGauge.
+From Trinity.Canonical.Sacred Require Import BoundsLeptonMasses.
+From Trinity.Canonical.Sacred Require Import BoundsMasses.
+From Trinity.Canonical.Sacred Require Import BoundsMixing.
+From Trinity.Canonical.Sacred Require Import BoundsQuarkMasses.
+From Trinity.Canonical.Sacred Require Import GammaPhi3.
+From Trinity.Canonical.Sacred Require Import L5Identity.
+From Trinity.Canonical.Sacred Require Import StrongCP.
+From Trinity.Canonical.Sacred Require Import DLBounds.
+
+(* --- Kernel (phi/Trit/E8 building blocks) --- *)
+From Trinity.Canonical.Kernel Require Import Phi.
+From Trinity.Canonical.Kernel Require Import PhiAttractor.
+From Trinity.Canonical.Kernel Require Import PhiFloat.
+From Trinity.Canonical.Kernel Require Import PhiDistance.
+From Trinity.Canonical.Kernel Require Import FlowerE8Embedding.
+From Trinity.Canonical.Kernel Require Import Trit.
+From Trinity.Canonical.Kernel Require Import Semantics.
+From Trinity.Canonical.Kernel Require Import GenIdempotency.
+From Trinity.Canonical.Kernel Require Import TernarySufficiency.
+
+(* --- IGLA invariants INV-1..INV-9 (runtime-mirror contract) --- *)
+From Trinity.Canonical.Igla Require Import INV1_BpbMonotoneBackward.
+From Trinity.Canonical.Igla Require Import INV1b_LrPhiOptimality.
+From Trinity.Canonical.Igla Require Import INV2_IglaAshaBound.
+From Trinity.Canonical.Igla Require Import INV3_Gf16Precision.
+From Trinity.Canonical.Igla Require Import INV4_NcaEntropyBand.
+From Trinity.Canonical.Igla Require Import INV5_LucasClosureGf16.
+From Trinity.Canonical.Igla Require Import INV6_HybridQkGain.
+From Trinity.Canonical.Igla Require Import INV7_IglaFoundCriterion.
+From Trinity.Canonical.Igla Require Import INV7b_RainbowBridgeConsistency.
+From Trinity.Canonical.Igla Require Import INV8_WorkerPoolComposite.
+From Trinity.Canonical.Igla Require Import INV9_EmaDecayValid.
+From Trinity.Canonical.Igla Require Import IglaCatalog.
+
+(* End of canonical index. All 38 bundles loaded. *)