AGENT SKILLS ATLASLean Math Analysis
USE FOR: real analysis, functional analysis, topology, and measure theory in Lean 4 / Mathlib — continuous functions, derivatives, integrals, metric / normed spaces, filter-based convergence, contraction mappings, convex analysis, spectral theory, and the real-valued bridges from a Nat-scaled model. DO NOT USE FOR: stochastic / probabilistic convergence (use @lean-math-stochastic); deterministic dynamical-system stability proofs (use @lean-math-dynamical); pure optimization (use @lean-math-optimization); typeclass-tower reasoning (use @lean-math-foundations); writing one specific proof (use @lean-proof). TRIGGERS: continuous, derivative, integral, metric space, normed space, filter, convergence, topology, measure space, contraction, Banach.
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About this skill
USE FOR: real analysis, functional analysis, topology, and measure theory in Lean 4 / Mathlib — continuous functions, derivatives, integrals, metric / normed spaces, filter-based convergence, contraction mappings, convex analysis, spectral theory, and the real-valued bridges from a Nat-scaled model. DO NOT USE FOR: stochastic / probabilistic convergence (use @lean-math-stochastic); deterministic dynamical-system stability proofs (use @lean-math-dynamical); pure optimization (use @lean-math-optimization); typeclass-tower reasoning (use @lean-math-foundations); writing one specific proof (use @lean-proof). TRIGGERS: continuous, derivative, integral, metric space, normed space, filter, convergence, topology, measure space, contraction, Banach.
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Original name
lean-math-analysisOriginal description
USE FOR: real analysis, functional analysis, topology, and measure theory in Lean 4 / Mathlib — continuous functions, derivatives, integrals, metric / normed spaces, filter-based convergence, contraction mappings, convex analysis, spectral theory, and the real-valued bridges from a Nat-scaled model. DO NOT USE FOR: stochastic / probabilistic convergence (use @lean-math-stochastic); deterministic dynamical-system stability proofs (use @lean-math-dynamical); pure optimization (use @lean-math-optimization); typeclass-tower reasoning (use @lean-math-foundations); writing one specific proof (use @lean-proof). TRIGGERS: continuous, derivative, integral, metric space, normed space, filter, convergence, topology, measure space, contraction, Banach.
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.