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Lean Math Foundations

Agent skill
1 skill

USE FOR: foundational mathematics in Lean 4 — Lean's type system (Prop / Type / universes), classical vs constructive choices, Mathlib's algebraic typeclass hierarchy (Group / Ring / Order / Lattice / Module / Algebra), category theory basics, and any proof that needs foundational reasoning about types, propositions, or universes. DO NOT USE FOR: applied lattice instances such as severity / quality-gate lattices (use @lean-math-discrete); analysis-flavoured algebra such as normed-space structure (use @lean-math-analysis); writing a specific proof (use @lean-proof); reviewing a finished proof (use @lean-proof-review). TRIGGERS: type universe, Prop vs Type, classical reasoning, Classical.choice, algebraic typeclass, Mathlib hierarchy, category theory, propext, funext.

Install with
Claude CodeCodexCursorGitHub CopilotGemini CLI

Supported by the Atlas install prompt. Skill-specific requirements vary.

Skill stats

Skills1CategoryScience & researchStars0

About this skill

USE FOR: foundational mathematics in Lean 4 — Lean's type system (Prop / Type / universes), classical vs constructive choices, Mathlib's algebraic typeclass hierarchy (Group / Ring / Order / Lattice / Module / Algebra), category theory basics, and any proof that needs foundational reasoning about types, propositions, or universes. DO NOT USE FOR: applied lattice instances such as severity / quality-gate lattices (use @lean-math-discrete); analysis-flavoured algebra such as normed-space structure (use @lean-math-analysis); writing a specific proof (use @lean-proof); reviewing a finished proof (use @lean-proof-review). TRIGGERS: type universe, Prop vs Type, classical reasoning, Classical.choice, algebraic typeclass, Mathlib hierarchy, category theory, propext, funext.

Quick start

  1. Copy the install prompt. Use the green button above this README.
  2. Send it to your agent. Paste it into your coding agent’s chat and send.
  3. Review the setup. Your agent checks the skill’s instructions, requirements, and installation scope.
Review, license & listing details
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About this listing

Category
Science & research
Reported license
Apache-2.0
Listing language (estimated)
English
Review status
Not individually reviewed
Agent compatibility
Atlas installation supports Claude Code, Codex, and Cursor. Skill-specific dependencies and features are checked during setup.
Lean Math Foundations | Agent Skills Atlas