SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 15929], which generates the variety V[15929]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-8e3d2f606c165739 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x⁵
  2. x²y ≈ xyx
  3. x²y² ≈ y²x²
  4. x³y² ≈ y²x³
  5. x⁴y² ≈ y²x⁴
  6. x³y³ ≈ y³x³
  7. x⁴y³ ≈ y³x⁴
  8. x⁴y⁴ ≈ y⁴x⁴