mcpbeat

Continuity

vibeeval/continuity

Problem-solving strategies for continuity in real analysis

304 tokens
context cost
the whole folder, loaded on every use
1
files
instructions only
0
copies elsewhere
how many repositories repackaged it
521
stars on the repo
on the repository, not the skill itself

Install

one command, takes just this skill from the repository 
npx skills add https://github.com/vibeeval/vibecosystem --skill continuity

The instruction itself

8 sections, as written by the author

Continuity

When to Use

Use this skill when working on continuity problems in real analysis.

Decision Tree

  • Check Definition
  • f(a) exists (function defined at point)
  • lim_{x->a} f(x) exists
  • lim_{x->a} f(x) = f(a)
  • Use SymPy for Limit Check
  • sympy_compute.py limit "f(x)" --var x --at a
  • Compare with f(a)
  • Piecewise Functions
  • Check left and right limits separately
  • sympy_compute.py limit "f(x)" --var x --at a --dir left
  • Verify with Z3
  • z3_solve.py prove "limit_exists implies continuous"

Tool Commands

Sympy_Limit

uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a

Sympy_Limit_Left

uv run python -m runtime.harness scripts/sympy_compute.py limit "f(x)" --var x --at a --dir left

Z3_Prove

uv run python -m runtime.harness scripts/z3_solve.py prove "continuous_at_a"

Cognitive Tools Reference

See .claude/skills/math-mode/SKILL.md for full tool documentation.

How to use it

Copy the folder

Take vibeeval/continuity from the repository into ~/.claude/skills for personal use, or into .claude/skills inside a project.

Check the name does not clash

The agent identifies a skill by the name field in its header. Two skills with the same name cannot sit side by side — one of them will be ignored.