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proof: add mod expression helper bridges#2182

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Th0rgal wants to merge 1 commit into
codex/2080-expr-helper-div-threadedfrom
codex/2080-expr-helper-mod-threaded
Open

proof: add mod expression helper bridges#2182
Th0rgal wants to merge 1 commit into
codex/2080-expr-helper-div-threadedfrom
codex/2080-expr-helper-mod-threaded

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@Th0rgal

@Th0rgal Th0rgal commented Jul 11, 2026

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Summary

  • add shared source/Yul value facts for Expr.mod, including builtin agreement and source helper evaluation
  • add right-threaded and left-threaded compositional context/poststate bridges for Expr.mod helper payloads
  • regenerate PrintAxioms.lean with the new mod bridge declarations; total still reports 0 sorry

Validation

  • lean-slot lake build Compiler.Proofs.HelperStepProofs
  • python3 scripts/check_proof_length.py
  • python3 scripts/generate_print_axioms.py
  • python3 scripts/generate_print_axioms.py --check
  • git diff --check
  • rg -n "\\b(sorry|admit|axiom)\\b|set_option\\s+autoImplicit\\s+true" Compiler/Proofs/HelperStepProofs.lean (no matches)

Note

Low Risk
Lean proof-only additions following the established div pattern; no executable compiler or security-sensitive runtime behavior changes.

Overview
Adds formal proof support for Expr.mod in the helper-step compositional pipeline, parallel to the existing Expr.div bridges.

Introduces exprModValue with bounds, builtin agreement (uint256_mod_val_eq), and lemmas tying compilation (YulExpr.call "mod"), source evaluation (evalExprWithHelpers), and Yul builtin evaluation to that value. Four threaded theorems lift a proven left or right child into ExprInternalHelperCompositionalContextResult / PostStateResult for Expr.mod, reusing the shared binary builtin helpers.

PrintAxioms.lean is regenerated to list the nine new declarations (theorem count 5711 → 5720).

Reviewed by Cursor Bugbot for commit 28c9524. Bugbot is set up for automated code reviews on this repo. Configure here.

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OpenCodeReview first-pass review

Status: success · Mode: medium-lean · 0 finding(s) · 2 files · 79103 tokens · 12 tool calls

No comments generated. Looks good to me.

OCR pilot metrics

  • Routing: medium-lean (router-v8)
  • Changed files: 2 supported / 2 total; Lean 2, trust docs 0, workflow/scripts 0, contracts 0, docs 0
  • Changed lines: 255 supported; thresholds large Lean >=3 files or >800 lines
  • OCR: status success; comments 0; files 2; tokens 79103; tool calls 12; warnings 0; duration 163s
  • Largest changed files: Compiler/Proofs/HelperStepProofs.lean (+244/-0), PrintAxioms.lean (+10/-1)

Pilot mode: advisory only. Codex Review remains the merge gate.

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