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Proof step 9 from proof getarray-get (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ n→i(n) < j → (getarray(r, i, j, st)[n]) = st[r -- (i + n→i(n)) ']
Proof step 8:
¬ n→i(n) < st[r -- _length] .intval, 0 < st[r -- _length] .intval, n < i→n(st[r -- _length] .intval) ⊦ (getarray(r, 0, st[r -- _length] .intval, st)[n]) = st[r -- n→i(n) '], st[r -- _length] .intval = 0

Rule argument

[crewrite-arg: get-get , F , [n, st, j, i, r] → [n, st, st[r -- _length] .intval, 0, r] ]

Additional information

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