SemiBase

A certified basis of 10 identities

This list of identities is a basis, proved in Lean, of [6, 7216], which generates the variety V[7216]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-ef0fec85dccfebf1 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²y ≈ xy
  3. xyx ≈ xyx²
  4. xyxzx ≈ xyzx
  5. xyxzy ≈ xyzy
  6. xyxz² ≈ xyz²
  7. xyzx ≈ xyzyx
  8. xyzxy ≈ xyzy
  9. xyzxz ≈ xyz²
  10. xyzyz ≈ xyz²