SemiBase

A certified basis of 8 identities

This list of identities is a basis, proved in Lean, of [6, 9727], which generates the variety V[9727]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-52af99d9cf8c9909 in the data of the bases-min seal.

Certified for

The identities

  1. x³ ≈ x⁴
  2. xyx ≈ xy²
  3. x³ ≈ x³y
  4. x²y ≈ x²yx
  5. x²y ≈ x²y²
  6. xyx ≈ xyx²
  7. x²y ≈ x²yz
  8. xyz ≈ xyzx