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Proof step 39 from proof addarray-put-01 (previous step)

r -- sk ∈ addarray(r, ty, 1 + i0, st), 0 ≤ i0, is_indexkey(sk), sk .index < 0 ∨ i0 < sk .index ⊦ sk = 0 ', sk = _type, sk = _length, r -- sk ∈ st

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 38:
sk = i ', r -- sk ∈ addarray(r, ty, 1 + i0, st), 0 ≤ i0, is_indexkey(sk), i < 0 ∨ i0 < i ⊦ sk = 0 ', sk = _type, sk = _length, r -- sk ∈ st

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)]]