LCS-Lazard Lie ring

Definition
A LCS-Lazard Lie ring is a Lie ring $$L$$ satisfying the following two properties:


 * 1) It is a 3-locally nilpotent Lie ring, i.e., any three elements of the Lie ring generate a nilpotent subring.
 * 2) Its 3-local lower central series powering threshold is $$\infty$$.