feat: create Lean Expert Agent with full inspection protocol

Agent inspects Lean code for:
1. Structural health (theorem/def/eval/sorry counts)
2. Naming conventions (camelCase/PascalCase per AGENTS.md)
3. Q0_16/Q16_16 compliance
4. Proof quality (native_decide, .isSome guards, tautologies)
5. Dependency analysis (unused imports, circular deps)

First inspection of Physics/ found 95 issues:
  79 naming violations (systematic snake_case)
  2 unused imports (Semantics.FixedPoint)
  4 trivial/tautological proofs
  3 #eval vs #eval! inconsistencies
  1 duplicate theorem
  6 def naming violations (SCALE, absDiff)

Trigger with: /inspect <target>
This commit is contained in:
Brandon Schneider 2026-05-13 22:01:12 -05:00
parent 2bbf896d3f
commit aa4563cdf5

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# Lean Expert Agent — AGENTS.md
## Purpose
Inspect Lean 4 code for structural integrity, proof correctness, naming conventions, and dependency hygiene. Reports findings as DAG receipts.
## Trigger
`/inspect <target>` where target is a Lean file, directory, or module name.
## Inspection Protocol
For every file inspected, the agent MUST report:
### 1. Structural Health
- Count of `theorem` vs `def` vs `#eval` vs `#eval!`
- Count of `sorry` axioms (⚠️ flag if > 0)
- Count of `native_decide` proofs vs hand-written proofs
- Count of empty theorem bodies (`:= by` with no following tactic)
- Count of tautological theorems (`X = X`, `v ≤ v`)
- Count of unused imports (import a module without using it)
- Count of `set_option` linter suppressions
### 2. Naming Conventions (per AGENTS.md §2)
- File names: `PascalCase.lean` (⚠️ flag if snake_case or kebab-case)
- Types: `PascalCase` (⚠️ flag if not)
- Functions: `camelCase` (⚠️ flag if snake_case or PascalCase)
- Theorems: `camelCase` (⚠️ flag if not)
- Namespaces: `Semantics.<Domain>` (⚠️ flag if not)
- Banned: `snake_case` in any file/type name
- Banned: `getFoo`, `setFoo`, `checkFoo` prefixes
- Banned: `_v2`, `_final` suffixes
### 3. Q0_16 / Q16_16 Compliance (per AGENTS.md §1.4)
- Are dimensionless scalars using `Q0_16` (16-bit, pure fraction)?
- Are mixed quantities using `Q16_16` (32-bit, signed) ONLY when necessary?
- Is `Float` used in hot-path code? (⚠️ flag if yes)
- Are Q16_16 operations provably deterministic?
### 4. Proof Quality
- Does every `def` have a companion `theorem` or `#eval` witness?
- Do `.get!` calls have companion `.isSome` theorems?
- Are `native_decide` proofs used when the problem is decidable?
- Are inductive proofs used when the problem is inductive?
- Are there unused variables in theorem statements?
### 5. Dependency Analysis
- Does the file import modules it doesn't use?
- Does the file use any `sorry` axiom from imported modules?
- Are there circular dependencies between modules?
## Output Format
```lean
/- DAG Receipt — Lean Expert Inspection
File: <path>
Date: <date>
Pass: <true/false>
Issues: <count>
-/
```
Each issue MUST include `file:line` reference, severity (⚠️ ERROR, 🔶 WARNING, INFO), and a concise fix suggestion.
## Agent Resources
- `AGENTS.md` at repo root for naming conventions
- `6-Documentation/docs/AGENTS.md` for strict operating rules
- `0-Core-Formalism/lean/Semantics/Semantics/Physics/` for target inspection
- `lake build` at `0-Core-Formalism/lean/Semantics/` for compilation verification