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Proof step 4 from proof putar-rew (previous step)

is_fskey(sk), sk .index ≤ n→i(# vals0) + j, is_indexkey(sk), j < sk .index ⊦ sk = j ', (putArray(vals0, r, j + 1, st)[r -- sk, val0][r -- j ', val]) = (putArray(vals0, r, j + 1, st[r -- sk, val0])[r -- j ', val]), vals0 = []

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0], [CSIMPSEQ : ⊦ ¬ is_fskey(i ')], [CSIMPELIM : ⊦ is_indexkey(sk) → (i = sk .index ↔ sk = i ')])], [EXTRATERMS : (sk, i)]]