Can anyone tell me what this is called? Answered

I have seen these tools in a few variations but never any that came from a shop.
Around here people buy a cheap engine crane and use the parts to make them.
Another way of conversion that I have seen uses a high lift jack for 4WD's.
Top extends to whaere you have the stamp on the concrete, the actual lifting part has a slide on hook to go under the load and at the end you place a small hydraulic jack.
As said, seen a lot of the variations but never something that appear to be bought in a shop.

Think it is called a toe jack.
Bear in mind that they also used a pressurized expanding foam in the drilled holes to spread the lifting load and provide a decent bedding.

ie if you're just going to lift a corner, you might crack the slab.

I watched that video too. Took me awhile to figure out what they were actually doing. It's probably a specially designed tool for the trade. You might be able to have something like it made by a welding shop.