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Agent skill

Obtain Immediate Conclusions

by frenzymath in frenzymath/Danus

Derive immediate mathematical consequences from a theorem statement or subgoal.

Apache-2.0Auto-check passed

Install Obtain Immediate Conclusions

skills CLI
$ npx skills add frenzymath/Danus --skill obtain-immediate-conclusions -a claude-code

Project install by default; add -g for ~/.claude/skills/.

GitHub CLI
$ gh skill install frenzymath/Danus obtain-immediate-conclusions --agent claude-code

Project scope by default; add --scope user for a personal install. Needs GitHub CLI 2.90.0 or later (public preview).

Manual copy
$ git clone --depth 1 https://github.com/frenzymath/Danus.git skills-src && mkdir -p .claude/skills && cp -r skills-src/agents/skills/worker/obtain-immediate-conclusions .claude/skills/obtain-immediate-conclusions && rm -rf skills-src

Use ~/.claude/skills/ instead of .claude/skills for a personal install. The folder must contain SKILL.md.

Claude Code skills documentation · loads skills from .claude/skills/

Facts

Skill name
obtain-immediate-conclusions
GitHub stars
476
Token cost
~587 tokens
SKILL.md length
201 words
Files
2
Skills in repo
16
Repo updated
First seen
Licence
Apache-2.0

At a glance

Derive immediate mathematical consequences from a theorem statement or subgoal.

  • Works in 6 steps: Normalize notation and restate the claim… → List direct consequences that follow… → Split consequences into necessary… → …
  • Starting a new problem
  • SKILL.md covers Input Contract, Procedure, Output Contract and Tools, plus 1 more section
  • Instructions only: no scripts, shell commands, URLs or credentials in SKILL.md

What it does

Obtain Immediate Conclusions is an agent skill from frenzymath/Danus. Derive immediate mathematical consequences from a theorem statement or subgoal. Use when starting a new problem, branch, or subgoal, or when cheap progress or a cleaner reformulation is needed before deeper proof search.

Its SKILL.md is about 590 tokens, which your agent loads only when the skill is triggered. The skill folder holds 2 other files (for example `agents/openai.yaml`).

The repository describes itself as: Orchestrating Mathematical Reasoning Agents with Fact-Graph Memory. The licence is Apache-2.0.

When your agent uses it

  • Starting a new problem
  • A cleaner reformulation is needed before deeper proof search

Example prompts

  • “/obtain-immediate-conclusions”

Workflow steps

6 steps, taken from the first numbered list in SKILL.md.

  1. Normalize notation and restate the claim in equivalent forms.
  2. List direct consequences that follow from definitions and basic algebraic/logical manipulations.
  3. Split consequences into necessary conditions and candidate sufficient conditions.
  4. Mark each consequence with confidence and justification type.
  5. For every conclusion, explicitly decide whether it is likely fragile and should be stress-tested by counterexample.
  6. If a conclusion is fragile, record why it is fragile and indicate that $construct-counterexamples should be considered next.

What it can do on your machine

Read from SKILL.md and the folder at commit 6d92e8d. It shows what the files ask for, not the result of running them.

  • Tool permissions

    Pre-approves nothing: there is no allowed-tools line, so your agent's usual permission prompts apply.

    From allowed-tools in the SKILL.md frontmatter.

  • Runs code

    No scripts in the folder and no shell commands in SKILL.md (its code samples are json).

    From the folder's file list and the shell code blocks in SKILL.md.

  • Network

    No URLs in SKILL.md.

    From URLs in SKILL.md, links to its own repository left out.

  • Credentials

    Names no API keys, tokens, secrets or passwords.

    From names ending in _API_KEY, _TOKEN, _SECRET, _KEY or _PASSWORD in SKILL.md.

Context cost

Obtain Immediate Conclusions loads about 587 tokens when it runs. Until then it costs about 62 tokens; SKILL.md has 201 words of instructions outside code blocks.

Always · name and description, kept in context so the agent knows when to use it
~62
When it runs · the whole SKILL.md, loaded when a task matches
~587

Estimates: characters ÷ 4, the usual rule of thumb; real counts depend on the model's tokenizer. Scripts and assets cost tokens only if the agent reads them.

Safety

Auto-check passed

The automated check found no risky patterns in SKILL.md.

Automated static check — not a guarantee. Review scripts before installing. It scans the text of SKILL.md for risky patterns (piping downloads into a shell, reading credential files, hidden Unicode, destructive commands); files beside SKILL.md are not scanned.

SKILL.md

The full file from frenzymath/Danus at commit 6d92e8d, republished under its Apache-2.0 licence (© frenzymath). 201 words, ~587 tokens.

Download SKILL.mdSave it as .claude/skills/obtain-immediate-conclusions/SKILL.md (or your agent's skills folder). This skill also uses 1 other file; get the full folder from GitHub.
name
obtain-immediate-conclusions
description
Derive immediate mathematical consequences from a theorem statement or subgoal. Use when starting a new problem, branch, or subgoal, or when cheap progress or a cleaner reformulation is needed before deeper proof search.

Obtain Immediate Conclusions

Extract direct implications before speculative reasoning.

Input Contract

Read from memory and current context:

  • problem_id
  • current theorem/subgoal statement
  • memory

Procedure

  1. Normalize notation and restate the claim in equivalent forms.
  2. List direct consequences that follow from definitions and basic algebraic/logical manipulations.
  3. Split consequences into necessary conditions and candidate sufficient conditions.
  4. Mark each consequence with confidence and justification type.
  5. For every conclusion, explicitly decide whether it is likely fragile and should be stress-tested by counterexample.
  6. If a conclusion is fragile, record why it is fragile and indicate that $construct-counterexamples should be considered next.

Output Contract

Publish each conclusion to global memory with gm_add (kind conclusion): claim = the conclusion's statement, evidence = the derivation/justification that makes it checkable, and carry these fields in the record:

json
{
  "statement": "...",
  "justification_type": "by_definition|calculation|known_fact|logical_equivalence",
  "confidence": 0.0,
  "is_fragile": false,
  "fragility_reason": "",
  "suggested_followup": "none|construct-counterexamples",
  "scope": "global|branch|subgoal",
  "branch_id": "optional",
  "subgoal_id": "optional"
}

Rules:

  • is_fragile must always be present.
  • If is_fragile=true, then fragility_reason must explain the risk and suggested_followup should be construct-counterexamples.
  • If is_fragile=false, use fragility_reason="" and suggested_followup="none".

Tools

  • gm_add (publish the conclusion finding)
  • gm_search (recall related findings across the swarm)
  • search_arxiv_theorems for nontrivial consequences
  • Codex built-in web search for background definitions/terminology

Failure Logging

If no meaningful consequence is found, note it in your local memory (events) with:

  • event_type="immediate_conclusions_stalled"
  • missing assumptions and suspected blockers

© frenzymath, Apache-2.0. Rendered from Markdown: HTML in the file is shown as text, images as links, and headings moved down two levels. Raw file

Files

SKILL.md and 1 other file in agents/skills/worker/obtain-immediate-conclusions of frenzymath/Danus.

  • SKILL.md
  • agents/openai.yaml

Open the folder on GitHubat commit 6d92e8d

Compare with similar skills

Obtain Immediate Conclusions next to the 5 skills that share the most tags, products or categories with it. Stars are the repository's; “used in” counts other GitHub owners with a copy.

Obtain Immediate Conclusions compared with similar skills
SkillStarsUsed inTokensAuto-checkLicenceRepo updated
Obtain Immediate Conclusions this skillfrenzymath/Danus476—~587Automated safety check: PassApache-2.0
Longbridge Derivativessickn33/agentic-awesome-skills47k1 repos~1.1kAutomated safety check: PassMIT
Formula Derivationbrycewang-stanford/Auto-Empirical-Research-Skills4.6k—~1.7kAutomated safety check: PassCustom licence
Three-Statement Financial AnalysisHKUDS/Vibe-Trading35k—~1.2kAutomated safety check: PassMIT
Crypto Derivatives StrategiesHKUDS/Vibe-Trading35k—~2.4kAutomated safety check: PassMIT
Value Prop Statementsphuryn/pm-skills27k—~758Automated safety check: PassMIT

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More from frenzymath/Danus

All 16 skills in this repo

  • Check Referenced Statements

    frenzymath/Danus

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

    476 GitHub stars~852 tokensUpdated 1 mo ago
    Auto-check passed

  • Construct Counterexamples

    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.

    476 GitHub stars~790 tokensUpdated 1 mo ago
    Auto-check passed

  • Construct Toy Examples

    frenzymath/Danus

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

    476 GitHub stars~541 tokensUpdated 1 mo ago
    Auto-check passed

  • Direct Proving

    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.

    476 GitHub stars~1.3k tokensUpdated 1 mo ago
    Auto-check passed

  • Identify Key Failures

    frenzymath/Danus

    Synthesize the common stuck points across failed decomposition plans.

    476 GitHub stars~586 tokensUpdated 1 mo ago
    Auto-check passed

  • Propose Subgoal Decomposition Plans

    frenzymath/Danus

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

    476 GitHub stars~580 tokensUpdated 1 mo ago
    Auto-check passed

Questions about Obtain Immediate Conclusions

What does Obtain Immediate Conclusions do?

Derive immediate mathematical consequences from a theorem statement or subgoal. Obtain Immediate Conclusions is an agent skill from frenzymath/Danus. Derive immediate mathematical consequences from a theorem statement or subgoal.

When should I use Obtain Immediate Conclusions?

Obtain Immediate Conclusions fits situations like: starting a new problem; A cleaner reformulation is needed before deeper proof search.

How do I install Obtain Immediate Conclusions in Claude Code?

Run `npx skills add frenzymath/Danus --skill obtain-immediate-conclusions -a claude-code`. Or copy the skill folder (agents/skills/worker/obtain-immediate-conclusions in frenzymath/Danus) into .claude/skills/obtain-immediate-conclusions in your project. Claude Code loads it when a task matches its description.

How do I install Obtain Immediate Conclusions in Codex?

Run `npx skills add frenzymath/Danus --skill obtain-immediate-conclusions -a codex`. Or copy the skill folder (agents/skills/worker/obtain-immediate-conclusions in frenzymath/Danus) into .agents/skills/obtain-immediate-conclusions in your project. Codex loads it when a task matches its description.

Can I use Obtain Immediate Conclusions in Cursor, Gemini CLI or GitHub Copilot?

Cursor, Gemini CLI, GitHub Copilot and OpenCode also load SKILL.md folders. With the skills CLI, run `npx skills add frenzymath/Danus --skill obtain-immediate-conclusions -a cursor` (or -a gemini-cli, github-copilot or opencode for the others). To copy it by hand, put the folder in .cursor/skills/obtain-immediate-conclusions, .gemini/skills/obtain-immediate-conclusions, .github/skills/obtain-immediate-conclusions and .opencode/skills/obtain-immediate-conclusions in your project.

What does Obtain Immediate Conclusions need to run?

SKILL.md names no scripts, command-line tools or credentials: Obtain Immediate Conclusions is instructions for the agent only.

Does Obtain Immediate Conclusions access the network?

SKILL.md contains no URLs. Any network use would come from the scripts or tools the agent runs. This is read from the text; nothing was executed.

Is Obtain Immediate Conclusions safe to install?

Our automated static check of SKILL.md found no risky patterns, such as piping downloads into a shell, reading credential files or hidden Unicode. It is not a guarantee. Review the folder before installing.

What licence does Obtain Immediate Conclusions use?

Obtain Immediate Conclusions is published under the Apache-2.0 licence (the repository's licence). It allows redistribution, so the full SKILL.md is shown on this page.

How many tokens does Obtain Immediate Conclusions use?

About 587 tokens (SKILL.md is roughly 2.3k characters). Agents keep only the skill's name and description in context until a task matches; then they load SKILL.md in full.

What are the alternatives to Obtain Immediate Conclusions?

Skills that share tags, products or a category with Obtain Immediate Conclusions: Longbridge Derivatives (sickn33/agentic-awesome-skills, 47k stars), Formula Derivation (brycewang-stanford/Auto-Empirical-Research-Skills, 4.6k stars), Three-Statement Financial Analysis (HKUDS/Vibe-Trading, 35k stars) and Crypto Derivatives Strategies (HKUDS/Vibe-Trading, 35k stars). The comparison table on this page puts their stars, adoption, token cost, safety result and licence side by side.

Who maintains Obtain Immediate Conclusions?

frenzymath (a GitHub organization) maintains it in frenzymath/Danus, which has 476 GitHub stars. The repository holds 16 skills in this directory. The repository was last updated on August 27, 2026.

Source: frenzymath/Danus on GitHub. Facts on this page come from the repository at the commit we read; the author's words are quoted as theirs.