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Categories and functors: axioms and Lean 4 statements v1.0.0
Use this resource to check category axioms and functor properties
New
- 311 downloads
- 177 likes
- 243 saves
Free
Install with the CLI
In a terminal, from the folder you want:
npx --yes palatekit@latest install category-functor-axioms-leanWith no option, the skill goes to ~/.agents/skills/; add --agent claude-code (or codex, cursor…) to target an agent.
First time: connect the CLI with
npx --yes palatekit@latest loginThe agent checks the category axioms (identity, associativity), then the preservation properties of functors. It writes the statements in Lean 4 with Mathlib and plans the compilation step. You get formal statements ready to verify.
Mostly picked by
Updated November 2, 2026
Previews
Details
- Install guides
- Generates with
- Your agent's model
- Licence
- MIT
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What you get
- SKILL.md: axiom and functor checks, with Lean 4 theorem examples
- SKILL.md: Lean 4 build step with Mathlib
Good fit for
- You are formalizing a category theory exercise in Lean 4
- You need to prove that a map preserves composition
Not for
Tags
- category theory
- functors
- Lean 4
- Mathlib
About
You say
“Show in Lean 4 that this functor preserves composition of morphisms.”
Skill published by parcadei under the MIT license, delivered in its original version.
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How to use it
- Install the skill in your agent's skills folder
- Ask your agent to check category axioms and functor properties
- Review and adjust the result
Content preview
Files
- LICENSE1.1 KB
- NOTICE-PALATEKIT.md0.5 KB
- SKILL.md1.9 KB
Origin and licence
Listed unmodified
- Author
- parcadei
- Source
- github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/category-theory/categories-functors
- Licence
- MIT
Notice
« categories-functors » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.
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