A certified basis of 2 identities

This list of identities is a basis, proved in Lean, of 9 semigroups of order six, all of which generate the variety V[9401]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-441d98cad9f6958c in the data of the bases-min seal.

Certified for

[6, 9401] [6, 9402] [6, 9406] [6, 9407] [6, 9496] [6, 9497] [6, 9499] [6, 9500] [6, 9502]

The identities

x ≈ x⁵
xy ≈ yx