A certified basis of 4 identities

This list of identities is a basis, proved in Lean, of 2 semigroups of order six, all of which generate the variety V[4025]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-2fc92ff88a8e2b4b in the data of the bases-min seal.

Certified for

[6, 4025] [6, 4240]

The identities

x² ≈ x⁴
x³y ≈ xy
xyx ≈ yx²
xyzx ≈ xzyx