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Proof step 50 from proof putarray-addarray-override (previous step)

fs ' = _length, is_indexkey(_length), 0 ≤ i, i + n→i(# vals) ≤ n→i(# vals0), _length .index < 0 ∨ n→i(# vals0) ≤ _length .index ⊦ r0 -- _length ∈ st

Heuristic elimination applied rule insert elim lemma

And closed the goal!

Rule argument

[speclemmaarg: ,is_indexkey(sk) → (i = sk .index ↔ sk = i ') ,[sk, i] → [_length, i0] ,T ,storekey , ,elim-04 ]

Additional information

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