Local finiteness is restricted direct product-closed

This article gives the statement, and possibly proof, of a group property (i.e., locally finite group) satisfying a group metaproperty (i.e., restricted direct product-closed group property)
View all group metaproperty satisfactions | View all group metaproperty dissatisfactions |Get help on looking up metaproperty (dis)satisfactions for group properties
Get more facts about locally finite group |Get facts that use property satisfaction of locally finite group | Get facts that use property satisfaction of locally finite group|Get more facts about restricted direct product-closed group property

Statement

Suppose $I$ is an indexing set and $G_{i},i\in I$ is a collection of locally finite groups, then the restricted direct product of the $G_{i}$s is also locally finite.