A note on a corollary of the shape theorem for the contact process

A gentle revising of a merely using basics corollary of the shape theorem pointed out in [8], see also [9, 11], for filling in some lines missing out in [7] is shown to imply that its lower bound part conclusion may take effect from time zero with non-zero probability, and leads to observe that it may also be used to extend the formation of descendancy barriers from [2] on integer lattices of several dimensions in a simple way, which however is only a special case of the notably novel results in [5] accomplished for the generalization introduced in [1] first.