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Hex Lean Mathlib Boundary

Category: Product  ·  Sub-category: product-misc  ·  Last updated:
Gotchas for the Mathlib-free/Mathlib boundary in HexBerlekampZassenhausMathlib and similar *Mathlib Lean layers (ZMod64, FpPoly, DensePoly, ZPoly). Read before proving lemmas that mix the executable types with Mathlib Polynomial / ZMod algebra, OR before adding/proving ANY lemma in the Mathlib-free executable layer (`HexBerlekampZassenhaus/`, `HexLLL/`, etc. — NOT the `*Mathlib` libs), where Mathlib tactics like `by_contra`/`push_neg`/`ring`/`set` and lemmas like `lt_of_lt_of_le` are unavailable (see "Proving inside the Mathlib-free files"), OR before verifying any change to a *Mathlib bridge file — `ci.yml` builds the whole `HexBerlekampZassenhausMathlib` library (and transitively `HexBerlekampMathlib`), so those layers are merge-gating and must stay green (see "The Mathlib layer IS CI-gated").
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From the source SKILL.md

The executable types (Hex.ZMod64 p, Hex.FpPoly p = Hex.DensePoly (ZMod64 p), Hex.ZPoly = Hex.DensePoly Int) carry only Lean.Grind ring instances and a custom Dvd — not Mathlib's CommRing/Field/Monoid/AddGroup typeclasses. Mathlib homomorphism lemmas therefore fail to synthesize instances on these types. Do arithmetic with grind, and cross to the Mathlib Polynomial (ZMod p) / ZMod p side through the project's bridges.

What this skill does

Hex Lean Mathlib Boundary is a community-contributed Claude Code skill in the product-misc sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/hex-lean-mathlib-boundary/ and loads when your prompt matches the skill's trigger.

Who uses this skill

The Hex Lean Mathlib Boundary Claude Code skill is built for product managers, product designers, and cross-functional teams planning, shipping, and measuring product features. It's part of ClaudSkills (also referred to as Claude Skills or Claude Code Skills) — the open community-curated registry of 211,000+ SKILL.md files for Anthropic's Claude Code agent and the wider Claude ecosystem (Claude API, Claude Agent SDK).

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/hex-lean-mathlib-boundary
curl -L https://claudskills.com/skills/hex-lean-mathlib-boundary/SKILL.md \
  -o ~/.claude/skills/hex-lean-mathlib-boundary/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/hex-lean-mathlib-boundary/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/hex-lean-mathlib-boundary/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\hex-lean-mathlib-boundary\SKILL.md on Windows. See the full install guide for step-by-step instructions.

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Open @claudskills_bot on Telegram, tap Open Desktop App, and the desktop app installs this skill for you. Or share the bot link with a colleague — they get the same one-tap install. Learn more →

Pro

One-click install via the desktop app

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Frequently asked questions

How do I install the Hex Lean Mathlib Boundary Claude Code skill?
Install via the ClaudSkills desktop app (one click) or copy SKILL.md from the source repository to ~/.claude/skills/hex-lean-mathlib-boundary/SKILL.md and restart Claude Code. Both flows are detailed at claudskills.com/install/.
What does the Hex Lean Mathlib Boundary skill do?
Gotchas for the Mathlib-free/Mathlib boundary in HexBerlekampZassenhausMathlib and similar *Mathlib Lean layers (ZMod64, FpPoly, DensePoly, ZPoly). Read before proving lemmas that mix the executable types with Mathlib Polynomial / ZMod algebra, OR before adding/proving ANY lemma in the Mathlib-free executable layer (`HexBerlekampZassenhaus/`, `HexLLL/`, etc. — NOT the `*Mathlib` libs), where Mathlib tactics like `by_contra`/`push_neg`/`ring`/`set` and lemmas like `lt_of_lt_of_le` are unavailable (see "Proving inside the Mathlib-free files"), OR before verifying any change to a *Mathlib bridge file — `ci.yml` builds the whole `HexBerlekampZassenhausMathlib` library (and transitively `HexBerlekampMathlib`), so those layers are merge-gating and must stay green (see "The Mathlib layer IS CI-gated").
Is this skill free to install?
Yes. ClaudSkills is an open registry — every skill keeps its source repository's license, and manual install via copy is free. ClaudSkills Pro ($9/mo, $79/yr, or $149 one-time) adds one-click install via the desktop app and a multi-signal Quality Score.
When should I use the Hex Lean Mathlib Boundary skill?
Use Hex Lean Mathlib Boundary when your Claude Code task falls under the Product category — specifically in the product misc area. Claude Code auto-discovers installed skills and invokes the right one based on the task description, so you can also ask Claude directly (e.g. "use Hex Lean Mathlib Boundary" or describe the task and let Claude pick). Browse related skills at /category/product/.
What is a Claude Code skill and how does the Hex Lean Mathlib Boundary skill fit in?
A Claude Code skill is a SKILL.md file that lives under ~/.claude/skills/<name>/ and tells the Claude Code CLI agent how to perform a specific task (instructions, prompts, allowed tools). Skills are auto-discovered at session start. Hex Lean Mathlib Boundary is one of 67,000+ skills indexed in the open ClaudSkills catalog, classified under the Product category. Learn more at /learn/what-is-a-claude-skill/.

Attribution & license

Cite this skill

If you reference this skill in a blog post, paper, or documentation, you can cite it as:

APA
kim-em. (2026). Hex Lean Mathlib Boundary [Claude Code skill]. ClaudSkills. https://claudskills.com/skills/hex-lean-mathlib-boundary/
BibTeX
@misc{hex-lean-mathlib-boundary-2026,
  author    = {kim-em},
  title     = {Hex Lean Mathlib Boundary [Claude Code skill]},
  year      = {2026},
  publisher = {ClaudSkills},
  url       = {https://claudskills.com/skills/hex-lean-mathlib-boundary/}
}

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