# Holes

> Narya interactive proof development with typed holes

- Skill: `plurigrid/holes` (Agent Skill, multi-file: 4 files)
- Install (CLI): `npx skillmds@latest add plurigrid/holes`
- Raw SKILL.md: https://api.skillmd.com/api/skills/plurigrid/holes/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: plurigrid (https://skillmd.com/u/plurigrid)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/plurigrid/holes

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# Holes Skill

Interactive proof development using typed holes in Narya proof assistant.

See [HOLES_GUIDE.md](./HOLES_GUIDE.md) for detailed usage.

## Cat# Integration

This skill maps to Cat# = Comod(P) as a bicomodule:

```
Trit: 0 (ERGODIC - bridge/coordinator)
Home: Prof (profunctors/bimodules)
Poly Op: ⊗ (parallel composition)
Kan Role: Adj (adjunction bridge)
```

### GF(3) Naturality

Typed holes represent "gaps" in the proof space - they are ERGODIC elements
that bridge between what is known (MINUS) and what needs to be constructed (PLUS).