What is the role of Cat# integration in this skill?

Cat# integration maps the skill to specialized mathematical structures like profunctors and bicomodules, providing a rigorous topological framework for proof development.

Can this skill be used for graph theory applications?

Yes, it specifically interleaves with graph theory via NetworkX, allowing for universal graph hub coordination during the proof process.

What are typed holes in the Narya proof assistant?

Typed holes are placeholders or 'gaps' in a proof that represent specific obligations that need to be constructed. They allow developers to build proofs incrementally.

How does the Holes skill integrate with Claude Code?

The skill provides Claude with the domain-specific patterns and best practices required to navigate and resolve proof obligations within the Narya ecosystem.

Narya Typed Holes

Name: Narya Typed Holes
Author: plurigrid

byplurigrid

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Developer Tools

Facilitates interactive proof development using typed holes within the Narya proof assistant.

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.