I wrote this sentence:
Now, suppose that the "Price" anchor is already visited and the "ShippingInfo" anchor is visited after that. At this time, the context node "Product", which is defined as the "Common Ancestor" of these two anchors, is retrieved and its associated node in the page, which is the lowest common ancestor of the anchor elements, is obtained.
Does my usage of "already" and "after that" to convey a sequence in time is correct?
suppose this neighborhood is already visited and that neighborhood is visited after that. Now we can ...
Suppose this neighborhood is already visited and that neighborhood is visited next. Now we can ...