A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of 7 semigroups of order six, all of which generate the variety V[2578]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-f24a7e90fdccf34e in the data of the bases-min seal.

Certified for

[6, 2578] [6, 2580] [6, 2581] [6, 5116] [6, 5118] [6, 5119] [6, 5367]

The identities

xy ≈ yx
x²yz ≈ xy²z
xyztu ≈ vxyztu