proof-writer
Writes rigorous mathematical proofs for ML/AI theory. Use when asked to prove a theorem, lemma, proposition, or corollary, fill in missing proof steps, formalize a proof sketch, 补全证明, 写证明, 证明某个命题, or determine whether a claimed proof can actually be completed under the stated assumptions.
Profile →npx skills add majiayu000/claude-skill-registry --skill proof-writer --agent claude-code
Same command for any agent — swap --agent for codex, cursor, copilot.
Weekly change comes from our own snapshots, not the repository page — it measures attention, not adoption.
# Proof Write: Rigorous Theorem / Lemma Drafting Write a mathematically honest proof package, not a polished fake proof. ## Constants - DEFAULT_PROOF_DOC = `PROOF_PACKAGE.md` in project root - STATUS = `PROVABLE AS STATED | PROVABLE AFTER WEAKENING / EXTRA ASSUMPTION | NOT CURRENTLY JUSTIFIED` ## Context: $ARGUMENTS ## Goal Produce exactly one of: 1. a complete proof of the original claim 2. a corrected claim plus a proof of the corrected claim 3. a blockage report explaining why the claim is not currently justified ## Inputs Extract and normalize: - exact theorem / lemma / proposition / corollary statement - explicit assumptions - notation and definitions - any user-provided proof sketch, partial proof, or intended strategy - nearby lemmas or claims in local notes, appendix files, or theorem drafts if the request points to them - desired output style if specified: concise, appendix-ready, or full-detail If notation or assumptions are ambiguous, state the exact interpretation you are using before proving anything. ## Workflow ### Step 1: Gather Proof Context Determine the target proof file with this priority: 1. a file path explicitly specified by the user 2. a proof draft already
- Constants
- Context: $ARGUMENTS
- Goal
- Inputs
- Workflow
- Step 1: Gather Proof Context
- Step 2: Normalize the Claim
- Step 3: Feasibility Triage
- Step 4: Build a Dependency Map
- Step 5: Write the Proof Document
- Step 6: Final Verification
- Required File Structure
- Output Modes
- If the claim is provable as stated
What does the proof-writer skill do?
Writes rigorous mathematical proofs for ML/AI theory. Use when asked to prove a theorem, lemma, proposition, or corollary, fill in missing proof steps, formalize a proof sketch, 补全证明, 写证明, 证明某个命题, or determine whether a claimed proof can actually be completed under the stated assumptions.
How do I install it?
Run `npx skills add majiayu000/claude-skill-registry --skill proof-writer --agent claude-code` — it drops the skill into your project so the agent can pick it up. Swap the --agent value for codex, cursor or copilot if you use one of those.
Where does this skill come from?
From majiayu000/claude-skill-registry, a repository with 534 stars. We read it straight from the repository tree rather than a submitted listing, so what you see here is what is actually published.
Is a popular skill a good skill?
Not necessarily. Stars measure attention, not adoption — a repository can trend for a week and be abandoned. That is why we show the weekly change from our own snapshots next to the total, instead of a single flattering number.