SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 6169], which generates the variety V[6169]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-dd396ee9c99d8888 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. x²y² ≈ xy²
  4. xyxy ≈ xy²
  5. xy² ≈ yx²y
  6. x²yz ≈ xyz
  7. xyxz ≈ xy²z
  8. xyzx ≈ yxzx