By frenzymath

A skill your agent uses when editing .lean files, debugging Lean 4 builds (type mismatch, sorry, failed to synthesize instance, axiom warnings, lake build errors), searching mathlib for lemmas…

frenzymath/Archon

Validate externally referenced theorems by querying arXiv theorem search first and Codex's built-in web search second.

frenzymath/Danus

Construct candidate counterexamples to test a proposed conjecture, lemma, or intermediate claim by keeping the assumptions true while making the claimed conclusion fail.

frenzymath/Danus

Generate and analyze simpler examples that satisfy both the assumptions and the conclusion of a theorem statement or subgoal.

frenzymath/Danus

Screen a decomposition plan by first trying to prove all of its subgoals directly, then identifying the key stuck points if the plan does not fully go through.

frenzymath/Danus

Synthesize the common stuck points across failed decomposition plans.

frenzymath/Danus

Derive immediate mathematical consequences from a theorem statement or subgoal.

frenzymath/Danus

Propose multiple subgoal decomposition plans for the current theorem using the information already gathered.

frenzymath/Danus

Find program-conditioned math results, constructions, examples, counterexamples, analogies, and background references.

frenzymath/Danus

Verify a markdown proof in the order it is written. An agent skill from frenzymath/Danus.

frenzymath/Danus

Turn a project's verified fact graph into a publishable LaTeX paper in a configurable house style — a standalone amsart .tex with a real bibliography, compiled to PDF.

frenzymath/Danus

Write a human-readable mathematical progress report (compiled PDF) on a project for the operator / the mathematician who posed the problem.

frenzymath/Danus

First-run setup interview for a Danus deployment. An agent skill from frenzymath/Danus.

frenzymath/Danus

Recall what is already known — your own prior reasoning, the swarm's shared findings (including dead ends and verifier feedback), and the verified facts — before doing new work.

frenzymath/Danus

Aggregate all detected errors and gaps into the final verification report, apply strict accept/reject logic, and produce repair hints when rejected.

frenzymath/Danus

Verify a result and, on acceptance, write it as a fact — via the factsubmit tool.

frenzymath/Danus

Write a high-signal mathematical synthesis from global memory and the fact graph for the Codex main agent's own strategy and worker dispatch.

frenzymath/Danus