Kubus

Tutorial

From functions and paths to univalence, the circle and the kernel. Every example is checked by Kubus when this site is built: hover over names to see their types, click to jump to definitions; a ✓ marks declarations certified by the kernel.

  1. What Kubus is
  2. Getting started
  3. Functions, pairs and implicit arguments
  4. The interval and paths
  5. Composition
  6. Transport and path induction
  7. Data types and recursion
  8. Equivalences, Glue and univalence
  9. Higher inductive types
  10. Universes and displacement
  11. Trust: the kernel and the consistency proof
  12. Reference