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Proof step 31 from proof putarray-add-same (previous step)

0 ≤ sk .index, sk .index < n→i(# vals), is_indexkey(sk) ⊦ sk = _length, sk = _type, (putArray(vals, r0, 0, addarray(r0, ty, n→i(# vals), st))[r0 -- sk]) = (addarray(r0, ty, vals, st)[r0 -- sk]), vals = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
sk = i ', 0 ≤ i, i < n→i(# vals), is_indexkey(sk) ⊦ sk = _length, sk = _type, (putArray(vals, r0, 0, addarray(r0, ty, n→i(# vals), st))[r0 -- sk]) = (addarray(r0, ty, vals, st)[r0 -- sk]), vals = []

Rule argument

[speclemmaarg: ,is_indexkey(sk) → (i = sk .index ↔ sk = i ') ,[sk, i] → [sk, i] ,T ,storekey , ,elim-04 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_indexkey(sk) → (i = sk .index ↔ sk = i ')])], [EXTRATERMS : (sk, i)]]