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Proof step 11 from proof getarray-addarray-02 (previous step)

0 ≤ i ⊦ getarray(r, 0, i, addarray(r, intval(0), i, st)[r -- _type, typeval(mkarraytype(int_type))][r -- _length, intval(i)]) = mklist(intval(0), i→n(i))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ is_fskey(sk) → getarray(r, i, j, st[r0 -- sk, val]) = getarray(r, i, j, st)
Proof step 10:
is_fskey(_length), 0 ≤ i ⊦ getarray(r, 0, i, addarray(r, intval(0), i, st)[r -- _type, typeval(mkarraytype(int_type))]) = mklist(intval(0), i→n(i))

Rule argument

[speclemmaarg: , is_fskey(sk) → getarray(r, i, j, st[r0 -- sk, val]) = getarray(r, i, j, st) ,[val, sk, r0, st, j, i, r] → [intval(i), _length, r, addarray(r, intval(0), i, st) [r -- _type, typeval(mkarraytype(int_type)) ], i, 0, r] ,F ,storearrays , ,getarray-put-04 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_fskey(_length)])], [EXTRATERMS : (intval(i), _length, r, addarray(r, intval(0), i, st) [r -- _type, typeval(mkarraytype(int_type)) ], i, 0, r)]]