Writes rigorous mathematical proofs for ML and AI theory claims.
npx skills add https://github.com/OpenLAIR/dr-claw --skill aris-proof-writer
Please help me install this Agent Skill. Skill: aris-proof-writer Source: https://github.com/OpenLAIR/dr-claw/tree/main/skills/aris-proof-writer Command: npx skills add https://github.com/OpenLAIR/dr-claw --skill aris-proof-writer
Drafting proofs for theorems, lemmas, and propositions in ML/AI research often leads to hidden gaps, unstated assumptions, or overclaimed results. This Skill produces mathematically honest proof packages that either prove the claim, correct it, or explain exactly why it cannot be justified.
Ask the assistant to prove the stated theorem under the given assumptions and write the result into PROOF_PACKAGE.md.
High-intent search queries and answers about installing and using this skill.
State the exact claim, list all assumptions separately, and choose a strategy such as induction, contradiction, or inequality chaining. This Skill normalizes the statement, builds a dependency map of lemmas, and writes numbered justified steps into a proof package file.
Verify that the conclusion follows from the stated assumptions, that no cited theorem is used outside its conditions, and that no counterexample or quantifier failure exists. The Skill performs this feasibility triage and assigns a status before writing any proof.
The Skill does not fabricate a proof. It explains why the original statement is unjustified, proposes a corrected weaker claim with minimal extra assumptions, and proves the corrected version instead.
Yes. Provide the partial proof or sketch, and the Skill extracts the intended strategy, isolates substantial steps as separate lemmas, and completes the argument with justification for every nontrivial implication.
By default the proof package is written to PROOF_PACKAGE.md in the project root, or to a file path you explicitly specify. It does not modify paper or appendix .tex files unless you explicitly request that target.
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