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Solve problems on sigma-algebras v1.0.0

Use this resource to prove that a collection is a sigma-algebra or that a function is measurable

New

  • 346 downloads
  • 141 likes
  • 159 saves

Free

Install with the CLI

In a terminal, from the folder you want:

npx --yes palatekit@latest install sigma-algebra-proofs-measure

With 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 login

The agent checks the sigma-algebra axioms, computes the sigma-algebra generated by a collection, applies the pi-lambda theorem for uniqueness and tests measurability, with Z3 and SymPy. You get a proof for your exercise.

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Updated November 2, 2026

Card for the “Solve problems on sigma-algebras” skill

Details

Works in
Install guides
Generates with
Your agent's model
Licence
MIT

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What you get

  • SKILL.md: decision tree (axioms, generated sigma-algebra, measurability)
  • SKILL.md: Z3 commands (axioms, pi-lambda) and SymPy (preimage)

Good fit for

  • You need to prove that a collection is a sigma-algebra
  • You study the measurability of a function

Not for

    Tags

    • sigma-algebras
    • measure theory
    • measurability
    • borel

    About

    You say

    “Is the family of all subsets of X a sigma-algebra? Show it.”

    Card for the “Solve problems on sigma-algebras” skill

    Skill published by parcadei under the MIT license, delivered in its original version.

    Show more

    How to use it

    1. Install the skill in your agent's skills folder
    2. Ask your agent to prove that a collection is a sigma-algebra or that a function is measurable
    3. Review and adjust the result

    Content preview

    Files

    • LICENSE1.1 KB
    • NOTICE-PALATEKIT.md0.5 KB
    • SKILL.md3.1 KB

    Origin and licence

    Listed unmodified

    Author
    parcadei
    Source
    github.com/parcadei/continuous-claude-v3/tree/d07ff4b06b62f43771bc0c927d0211b734d6149e/.claude/skills/math/measure-theory/sigma-algebras
    Licence
    MIT

    Notice

    « sigma-algebras » (parcadei, MIT) livré dans sa version d'origine : fiche en français et en anglais par PalateKit.

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