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Proof step 6 from proof bar-restn (previous step)

n→i(m) < j, 0 ≤ i, 0 < j, ∀ j0, i0, r0, st0. ¬ j0 < n→i(m) ∧ ¬ i0 < 0 → restn(m, bytevalues(getarray(r0, i0, j0, st0))) = bytevalues(getarray(r0, i0 + n→i(m), j0 - n→i(m), st0)) ⊦ restn(m, bytevalues(getarray(r, i, j, st)) .rest) = bytevalues(getarray(r, (n→i(m) + 1) + i, j - n→i(m) + 1, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ 0 < j → getarray(r, i, j, st) = st[r -- i '] ' + getarray(r, i + 1, j - 1, st)
Proof step 5:
0 < j, n→i(m) < j, 0 ≤ i, 0 < j, ∀ j0, i0, r0, st0. ¬ j0 < n→i(m) ∧ ¬ i0 < 0 → restn(m, bytevalues(getarray(r0, i0, j0, st0))) = bytevalues(getarray(r0, i0 + n→i(m), j0 - n→i(m), st0)) ⊦ restn(m, bytevalues(st[r -- i '] ' + getarray(r, i + 1, j - 1, st)) .rest) = bytevalues(getarray(r, (n→i(m) + 1) + i, j - n→i(m) + 1, st))

Rule argument

[crewrite-arg: get-rec-01, F, [st, j, i, r] → [st, j, i, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, j, i, r)]]