There are two ways of opening a new Explorer tab.
The first way is very straightforward. Just select "Open new Explorer tab" menu item in the "hamburger" menu in any opened Explorer tab.
Another way is a bit tricky. First you need to select a fragment of any statement in an Explorer tab or in a Proof Explorer tab. The selected fragment will have a button with a magnifying glass icon. When you click this button, a new Explorer tab will open. Its "search pattern" field will be prepopulated with the content of the selected fragment.