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This skill empowers developers and researchers to perform sophisticated formal verification and interactive theorem proving within the Narya environment. By utilizing 'typed holes'—intentional gaps in proofs that act as placeholders for future logic—the skill allows for a non-linear, exploratory approach to mathematical construction. It integrates deeply with scientific ecosystems like NetworkX and the Cat# framework, treating proof gaps as ergodic bridges between known axioms and target constructions, making it ideal for complex topological and logic-based development.