SemiBase

A certified basis of 9 identities

This list of identities is a basis, proved in Lean, of [6, 3613], which generates the variety V[3613]. Removing the identities that follow from the others leaves 4 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-d0679b2a8731aba5 in the data of the bases-min seal.

Certified for

The identities

  1. x² ≈ x³
  2. x²yx ≈ xyx
  3. xyx ≈ xyx²
  4. x²y² ≈ xyxy
  5. x²y² ≈ yx²y
  6. x²yz ≈ xyxz
  7. xyzx ≈ xzyx
  8. xyzy ≈ xzy²
  9. xyzt ≈ xzyt