SemiBase

A certified basis of 10 identities

This list of identities is a basis, proved in Lean, of [6, 15959], which generates the variety V[15959]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-99726ed769db71ee in the data of the bases-min seal.

Certified for

The identities

  1. x ≈ x⁴
  2. x ≈ xy³
  3. x²y ≈ xyx
  4. x² ≈ xyxy²
  5. x² ≈ xy²xy
  6. x³yx ≈ xy
  7. x²yx² ≈ xy
  8. xyz ≈ xzy
  9. xy ≈ xzyz²
  10. xy ≈ xz²yz