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Research-Stack/.opencode/agents/fix-ssms-sorry.md
Brandon Schneider dac28c1b52 docs: sync all editor rules, opencode agents, and sorry audit 
Editor rules updated (.cursorrules, .clinerules, copilot-instructions, .roo):
- Build: 3571 jobs, 0 errors
- Sorry inventory: 8 across 4 files (all documented)
- Q16_16 compliance, new modules list, FPGA info
- Fixed stale path in copilot-instructions

Opencode agents:
- 3 marked RESOLVED (pist-simulation, qfactor, ssms)
- 2 new agents created (adjugate-matrix, hamiltonian-mechanics)
- 1 updated (hyperbolic-statesurface)

SORRY_AUDIT.md: updated to 8 sorries across 4 files
2026-05-28 17:53:54 -05:00

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description mode model permission
Prove the ACI preservation theorem in SSMS.lean by adding required Q16_16 triangle inequality lemmas. Use ONLY when asked to fix SSMS sorry. subagent anthropic/claude-sonnet-4-6
edit bash read
allow allow allow

STATUS: RESOLVED — aciPreservedByMlgruStep sorry eliminated 2026-05-28. The proof was completed using abs_sub_comm, mul_mono_left, q16Clamp_id_of_inRange, and f_eps/omf_eps sub-lemmas. No remaining sorry in SSMS.lean.

Fix SSMS.lean sorry

Resolution

The sorry at line 576 (aciPreservedByMlgruStep) was eliminated. The proof uses:

  • abs_sub_comm with correct argument ordering (lines 559–571)
  • f_eps and omf_eps sub-lemmas proved via mul_mono_left + one_mul (lines 605–614)
  • omf_toInt equality proved via q16Clamp_id_of_inRange (lines 575–599)
  • h_ft_range hypothesis added to theorem signature (line 546)

What to do (original instructions, kept for reference)

The sorry at line 576 (aciPreservedByMlgruStep) needs Q16_16 lemmas:

  1. Triangle inequality: abv_add_le or similar
  2. mul_le_of_nonneg_of_le
  3. sub_eq_add_neg for Q16_16

The blocker comment (lines 529-533) says: "Q16_16 uses saturating arithmetic over UInt32, which makes these algebraic lemmas non-trivial."

Approach

The simplest fix may be to prove a weaker version that works for the specific case: if all inputs are non-negative and in range, the saturating arithmetic behaves like standard integer arithmetic.

Steps

  1. Read SSMS.lean around lines 529-576 to understand the theorem
  2. Assess which Q16_16 lemmas are missing
  3. Either add them locally or use existing lemmas
  4. Close the sorry
  5. Build: lake build Semantics.SSMS
  6. Build: lake build Compiler