SemiBase

A certified basis of 7 identities

This list of identities is a basis, proved in Lean, of [6, 6183], which generates the variety V[6183]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-c9d58fe5eea2b2e4 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. xyx² ≈ yx²
  4. x²y² ≈ xyxy
  5. x²y² ≈ xy²x
  6. xyxz ≈ yx²z
  7. x²yzy ≈ xyxzy