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Proof step 7 from proof getarray-get (previous step)

st[r -- _length] .intval ≤ n→i(n), n < i→n(st[r -- _length] .intval), 0 < st[r -- _length] .intval ⊦ st[r -- _length] .intval = 0, (getarray(r, 0, st[r -- _length] .intval, st)[n]) = st[r -- n→i(n) '], n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
0 ≤ i ⊦ m < i→n(i) ↔ n→i(m) < i
Proof step 6:
⊦ n→i(n) < j → (getarray(r, i, j, st)[n]) = st[r -- (i + n→i(n)) ']

Rule argument

[speclemmaarg: 0 ≤ i ,((* m)) < i→n(i) ↔ n→i(m) < i ,[i, m] → [st[r -- _length] .intval, n] ,F ,intnat , ,num-i2n-ls-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i < j → ¬ j < i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i])], [EXTRATERMS : (st[r -- _length] .intval, n)]]