Solve Math Rigorously

Forces a counterexample search before trusting a proof -- caught sin(x)+cos(x) exceeding 1 right at x=0 where naive spot-checks look fine.

Tested · Works

Test report

Verdict
Tested · Works
Score
9.6/10
Tested
Jul 16, 2026
Environment
Claude Code 2.x (agent harness)
Upstream re-checked
Aug 10, 2026 · ae9d744

Ran the real bundled math_verify.py counterexample checker on the plausible-looking claim 'sin(x)+cos(x) <= 1 for all real x': it found a genuine violation at x=0.00785 (value 1.00782) that boundary-only spot-checks at x=0, pi/2, pi, 3pi/2 (all give exactly +-1) completely miss -- a concrete, reproducible catch of a false claim a careless baseline pass would rubber-stamp as true.

Scored on four weighted criteria — install, triggering, output vs. baseline, docs. How scoring works

  • Installs cleanly 5/5
  • Triggers reliably 5/5
  • Output vs. baseline 9/10
  • Docs & honesty 5/5

What Solve Math Rigorously does

A solver-first math skill: map the problem, pick a method deliberately, solve in inspectable steps, then verify with sanity/structural/independent/tool-assisted checks before presenting confidence. Ships local SymPy-backed scripts (math_verify.py, math_visualize.py, math_table.py, math_photo_helper.py) and 15 reference playbooks for photo intake, proofs, and method selection. Triggers on solving equations/systems, proving or disproving a claim, optimization, checking an answer, or reading math off a photo/PDF/whiteboard; explicitly de-prioritizes teaching/worksheet modes unless asked.

How to install Solve Math Rigorously

git clone https://github.com/googlarz/math-skill
mkdir -p ~/.claude/skills
cp -r math-skill ~/.claude/skills/solve-math-rigorously

Skills live in ~/.claude/skills/ (global) or .claude/skills/ (per-project). Restart Claude Code after installing.

Commands — how to trigger Solve Math Rigorously

  • /solve-math-rigorously Forces a counterexample search before trusting a proof -- caught sin(x)+cos(x) exceeding 1 right at x=0 where naive spot-checks look fine.

It also activates on plain-language prompts like these:

  • Prove or disprove that sin(x) plus cos(x) is always at most 1
  • Check my optimization solution for errors before I trust it
  • Solve this system of equations and verify it with an independent check

Frequently asked questions

Is the Solve Math Rigorously skill free?
Yes. The skill itself is free from googlarz/math-skill. SkillProof publishes the install command and an independent test verdict at no cost.
Does Solve Math Rigorously work with Claude Code?
We tested it with Claude Code 2.x (agent harness) on Jul 16, 2026. Verdict: Tested · Works. Ran the real bundled math_verify.py counterexample checker on the plausible-looking claim 'sin(x)+cos(x) <= 1 for all real x': it found a genuine violation at x=0.00785 (value 1.00782) that boundary-only spot-checks at x=0, pi/2, pi, 3pi/2 (all give exactly +-1) completely miss -- a concrete, reproducible catch of a false claim a careless baseline pass would rubber-stamp as true.
What is the Solve Math Rigorously SkillProof Score?
9.6/10 — installs cleanly 5/5, triggers reliably 5/5, output vs. baseline 9/10, docs & honesty 5/5.
How do I install Solve Math Rigorously?
Copy the install command from this page, run it in your terminal, and restart Claude Code. Skills live in ~/.claude/skills/ (global) or .claude/skills/ inside a project.
Can I use Solve Math Rigorously with Cursor, Copilot, Gemini CLI, Codex or other AI tools?
The SKILL.md format is native to Claude (Claude Code, Desktop, claude.ai). The instructions inside adapt to other assistants: Cursor rules, GitHub Copilot instructions, Windsurf rules, Custom GPTs, AGENTS.md for OpenAI Codex, and GEMINI.md for Google Gemini CLI — our conversion guides cover each, and the free converter on the tools page does the wrapping for you.