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Proof step 50 from proof addarray-put-01 (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 49:
sk = i ', r -- sk ∈ addarray(r, ty, i0 + j + 1, st), is_indexkey(sk), 0 ≤ i0 + j, 0 ≤ i0, 0 < j, i < 0 ∨ j + i0 < i ⊦ sk = _length, sk = _type, sk = j ', j = 0, 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)]]