A certified basis of 15 identities
This list of identities is a basis, proved in Lean, of [6, 5647], which generates the variety V[5647]. Removing the identities that follow from the others leaves 12 identities (Vampire); the variety page shows the shortest known basis.
Identifier sb-da645c91addfa172 in the data of the bases-min seal.
Certified for
The identities
- x³ ≈ x⁴
- x²yx ≈ yx³
- xyx² ≈ yx³
- xyxy ≈ xy²x
- xyxy ≈ yx²y
- x²y³ ≈ xy³x
- x³y³ ≈ y³x³
- xyxzx ≈ yzx³
- xyxzy ≈ yx²zy
- xyzxy ≈ xyzyx
- xyzxy ≈ yxzxy
- xyzxz ≈ xyz²x
- xyxz³ ≈ xyz³x
- xyzxty ≈ yxzxty
- xyztxz ≈ xyztzx