A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 12 semigroups of order six, all of which generate the variety V[189]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-61e3a62192ccb8be in the data of the bases-min seal.

Certified for

The identities

1. x² ≈ y²
2. xy ≈ yx
3. x³yz ≈ xyz