SemiBase

A certified basis of 10 identities

This list of identities is a basis, proved in Lean, of [6, 13185], which generates the variety V[13185]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-0967d3c834474c43 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. xyx ≈ xyx²
  3. xyx ≈ xy²x
  4. xyxy ≈ xy²
  5. xyzx ≈ xyzyx
  6. xyzx ≈ xyz²x
  7. xyzxy ≈ xyzy
  8. xyzxz ≈ xyz²
  9. xyztx ≈ xyztzx
  10. xyztxz ≈ xyztz