Mathematical Proof Logic

Quality score: 70/100 · Category: General · Sub-category: general-misc

The logical structure of mathematical proof -- how first-order logic, natural deduction, and semantic reasoning combine to produce rigorous mathematical arguments. Covers the logical skeleton of direct proof, contraposition, contradiction, cases, and induction; the role of definitions, lemmas, and theorems; how informal mathematical prose maps to formal deductive structure; and the difference between proof-as-object and proof-as-activity. Use when the question is "why is this a valid proof?" rather than "what proof technique applies?

What this skill does

Mathematical Proof Logic is a production-ready Claude Code skill (quality score 70/100) in the general-misc sub-category. It ships as a SKILL.md file that Claude Code auto-discovers under ~/.claude/skills/mathematical-proof-logic/ and loads when your prompt matches the skill's trigger.

Who uses this skill

The Mathematical Proof Logic skill is built for Claude Code users and developers across all disciplines looking for general-purpose AI assistance. It is part of the open ClaudSkills registry, a community-curated catalog of 15,000+ capabilities you can install for Claude Code — the Claude CLI agent.

How to install

Free

Manual install (2 steps)

mkdir -p ~/.claude/skills/mathematical-proof-logic
curl -L https://claudskills.com/skills/mathematical-proof-logic/SKILL.md \
  -o ~/.claude/skills/mathematical-proof-logic/SKILL.md

Or just download SKILL.md directly and drop it into ~/.claude/skills/mathematical-proof-logic/. Claude Code auto-discovers it on next session.

Skills live at ~/.claude/skills/mathematical-proof-logic/SKILL.md on macOS/Linux, or %USERPROFILE%\.claude\skills\mathematical-proof-logic\SKILL.md on Windows. See the full install guide for step-by-step instructions.

Pro

One-click install via the desktop app

The ClaudSkills desktop app installs any skill directly into ~/.claude/skills/ with one click — no terminal required. Pro starts at $9/mo or $149 lifetime.

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Part of ClaudSkills — the open registry for Claude Code skills. · What's New · Install guide · About · llms.txt

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