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rezk-types - Complete Segal spaces with local univalence

Defines Segal types with isomorphisms equivalent to identities

Tags

Updated: 2026-02-23
Category TheoryHomotopy Type TheorySegal Spaces

Capabilities

Typical Inputs

Typical Outputs

What this skill does

  • Define isomorphism types
  • Establish equivalence proofs
  • Implement local univalence

Inputs

  • Segal types
  • Homotopy data
  • Type theory definitions

Outputs

  • Rezk completion
  • Univalence proofs
  • Category structure

Requirements

  • Rzk language
  • Segal type system
  • Homotopy theory

Source

  • Spec: SKILL.md
Define isomorphism types
Establish equivalence proofs
Implement local univalence
Segal types
Homotopy data
Type theory definitions
Rezk completion
Univalence proofs
Category structure