SemiBase

A certified basis of 10 identities

This list of identities is a basis, proved in Lean, of [6, 13755], which generates the variety V[13755]. Removing the identities that follow from the others leaves 7 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-2a94597ce8c91a68 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x³y ≈ x²y
  3. xyx ≈ xyx²
  4. x²yxz ≈ x²yz
  5. xyx²z ≈ xyxz
  6. xyxyz ≈ xy²xz
  7. xyxzxt ≈ xyxzt
  8. xyzxyt ≈ xyzyxt
  9. xyzxzt ≈ xyz²xt
  10. xyztxzu ≈ xyztzxu