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
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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.
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.