A certified basis of 15 identities
This list of identities is a basis, proved in Lean, of [6, 5854], which generates the variety V[5854]. Removing the identities that follow from the others leaves 3 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-6e9efc3870c18cbc in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- xy² ≈ yx²
- x³y ≈ x²y
- x²yx ≈ xyx
- x²y² ≈ xy²
- x²yz ≈ xyz
- xyxyz ≈ xyxz
- xyxzx ≈ xyzx
- xyxzy ≈ yxzy
- xyxz² ≈ xyz²
- xyzxy ≈ xyz²
- xyzxz ≈ xyz²
- xyzyx ≈ xyz²
- xyz² ≈ xyz²x
- xyz² ≈ xyz²y