audit: classify 2 PA021 legitimate mathematical axioms (funext + Conflicts)

[hyperpolymath]

Summary

panic-attack assail reports 2 PA021 ProofDrift findings in this repo. Both are postulates with inline justification — neither is a proof debt.

• proofs/agda/Basic.agda:177 — funext (function extensionality). Standard HoTT axiom; Coq has FunctionalExtensionality.functional_extensionality, Lean has funext. Provable in Cubical Agda; postulated in plain Agda.
• proofs/agda/SoundnessPreservation.agda:51 — Conflicts. INTENTIONAL parameter (abstract binary predicate); theorem interface, not debt.

What changes

• audits/assail-classifications.a2ml — 2 entries
• audits/audit-pa021-axioms-2026-05-26.md

Verification

No proof source touched; agda --check rebuild is moot (input unchanged from main).

Refs hyperpolymath/panic-attack#32.

🤖 Generated with Claude Code

[github-actions]

🔍 Hypatia Security Scan

Findings: 166 issues detected

Severity	Count
🔴 Critical	14
🟠 High	78
🟡 Medium	74

⚠️ Action Required: Critical security issues found!

View findings

[
  {
    "reason": "Workflow executes remote script directly (curl/wget piped to shell). Download, verify checksum/signature, then execute.",
    "type": "download_then_run",
    "file": "mirror.yml",
    "action": "verify_download_integrity",
    "rule_module": "workflow_audit",
    "severity": "high"
  },
  {
    "reason": "Agda postulate assumes without proof -- potential soundness hole (1 occurrences, CWE-704)",
    "type": "agda_postulate",
    "file": "/home/runner/work/echidna/echidna/proofs/agda/Basic.agda",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "critical"
  },
  {
    "reason": "Agda postulate assumes without proof -- potential soundness hole (2 occurrences, CWE-704)",
    "type": "agda_postulate",
    "file": "/home/runner/work/echidna/echidna/proofs/agda/SoundnessPreservation.agda",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "critical"
  },
  {
    "reason": "Agda postulate assumes without proof -- potential soundness hole (1 occurrences, CWE-704)",
    "type": "agda_postulate",
    "file": "/home/runner/work/echidna/echidna/meta-checker/src/Echidna/AxiomSafety.agda",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "critical"
  },
  {
    "reason": "UNSOUND: --type-in-type collapses type hierarchy (Girard's paradox) (1 occurrences, CWE-704)",
    "type": "agda_type_in_type",
    "file": "/home/runner/work/echidna/echidna/meta-checker/src/Echidna/AxiomSafety.agda",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "critical"
  },
  {
    "reason": "User-defined axiom -- not verified by Lean kernel (1 occurrences, CWE-704)",
    "type": "lean_axiom",
    "file": "/home/runner/work/echidna/echidna/verification/proofs/lean4/IntegrityVerification.lean",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "medium"
  },
  {
    "reason": "User-defined axiom -- not verified by Lean kernel (1 occurrences, CWE-704)",
    "type": "lean_axiom",
    "file": "/home/runner/work/echidna/echidna/verification/proofs/lean4/ConfidenceLattice.lean",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "medium"
  },
  {
    "reason": "User-defined axiom -- not verified by Lean kernel (1 occurrences, CWE-704)",
    "type": "lean_axiom",
    "file": "/home/runner/work/echidna/echidna/proofs/lean/mvp_basic.lean",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "medium"
  },
  {
    "reason": "User-defined axiom -- not verified by Lean kernel (1 occurrences, CWE-704)",
    "type": "lean_axiom",
    "file": "/home/runner/work/echidna/echidna/proofs/lean/Propositional.lean",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "medium"
  },
  {
    "reason": "Nickel file missing SPDX-License-Identifier header (1 occurrences, CWE-1104)",
    "type": "ncl_missing_spdx",
    "file": "/home/runner/work/echidna/echidna/configs/config.ncl",
    "action": "flag",
    "rule_module": "code_safety",
    "severity": "medium"
  }
]

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