SemiBase

A certified basis of 9 identities

This list of identities is a basis, proved in Lean, of [6, 6171], which generates the variety V[6171]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-809cc00761a2f1b2 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. x²y² ≈ xy²
  4. xyx² ≈ xy²
  5. x²yz ≈ xyz
  6. xyxz ≈ xy²z
  7. xyzxy ≈ xyz²
  8. xyzxz ≈ xyz²
  9. xyzyx ≈ xyz²