I, personally, would be worried using anything that is going to cause major vibration or shock to the foundation (that you just had fixed!!). I would do my best to get it away from the foundation as much as possible before I proceeded to beat it to death.I could use a strap, but it would be difficult to get it under slab as it is now pressed up against the foundation. and some bushes in the way.
It is a smallish slab would not take long to demolish, but just a bit to big to move by hand.
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