Proof of cut elimination

462 Views Asked by At

I am reading Proofs and types and am blocked at the proof of cut elimination in sequent calculus (chap 13). I don't see either how the cuts are being pushed up above the preceding steps to the top of the proof as most key cases have replacements with cuts at the same level ($R \implies$). In any event, what is the proof of the base case of the induction (i.e. cut elimination at the top of the proof)?