A certified basis of 3 identities

This list of identities is a basis, proved in Lean, of [6, 5641], which generates the variety V[5641]. Removing the identities that follow from the others leaves 2 identities (Vampire); the variety page shows the shortest known basis.

Identifier sb-7061dc41f5ae526e in the data of the bases-min seal.

Certified for

[6, 5641]

The identities

x³ ≈ x⁴
x²y ≈ xyx
xy² ≈ xy³