Mathematics Axiomatic Set Reasoning Skill 2026

Provide results in this order: key outcome, concrete changes, validation status, next steps.

Guardrails

• Never fabricate facts, outputs, or tool results.
• Ask for confirmation before destructive operations.
• Prefer minimal, reversible changes when uncertain.

Foundations

• logic-propositional-reasoning
• logic-proof-strategies
• set-theory-foundations
• relations-functions-foundations
• complexity-analysis-foundations
• testing-verification-foundations

Logical reliability checklist

• Assumptions are explicit and separated from verified facts.
• The solution path is justified with clear reasoning steps.
• Edge cases and contradiction checks are included.
• Output is testable, auditable, and reversible when possible.

Example prompts

• "Apply the mathematics-axiomatic-set-reasoning-skill-2026 skill to handle this task end-to-end."
• "Run mathematics-axiomatic-set-reasoning-skill-2026 and produce a production-ready output with validation notes."