Left transiter-preserved subgroup metaproperty

Definition
A subgroup metaproperty $$\alpha$$ is termed left transiter-preserved or left transiter-closed if whenever a subgroup property $$p$$ satisfies $$\alpha$$, then the left transiter of $$p$$ also satisfies $$\alpha$$.

Stronger metaproperties

 * Weaker than::Left residual-preserved subgroup metaproperty