yoneda-directed

Official

Directed Yoneda for proofs in type theory.

Authorplurigrid
Version1.0.0
Installs0

System Documentation

What problem does it solve?

The Directed Yoneda Skill presents a practical lens on the Yoneda principle for directed ∞-categories, helping researchers and students apply directed path induction to proofs about Segal types.

Core Features & Use Cases

  • Core Definition (Rzk): A compact, executable-style formulation of dependent Yoneda in a directed setting.
  • Chemputer Semantics: A metaphorical interpretation to connect abstract reasoning with concrete intuition.
  • GF(3) Triads & Theorem: Concrete mappings of hue to trit and example theorems that illustrate the idea.
  • References: Foundational papers and links for extended reading.

Quick Start

Read the Core Definition (Rzk), then apply directed-path-induction to a Segal-type A, a, and P to derive P(x, f) from base P(a, id_a).

Dependency Matrix

Required Modules

None required

Components

Standard package

💻 Claude Code Installation

Recommended: Let Claude install automatically. Simply copy and paste the text below to Claude Code.

Please help me install this Skill:
Name: yoneda-directed
Download link: https://github.com/plurigrid/asi/archive/main.zip#yoneda-directed

Please download this .zip file, extract it, and install it in the .claude/skills/ directory.
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