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Proof step 8 from proof bar-restn (conclusion)

⊦ n→i(n) ≤ j ∧ 0 ≤ i → restn(n, getbytearray(r, i, j, st)) = getbytearray(r, i + n→i(n), j - n→i(n), st)

User applied rule structural induction

And obtained the following new goals

Proof step 1:
⊦ getbytearray(r, i, j, st) = bytevalues(getarray(r, i, j, st))
Proof step 7:
∀ j, i, r, st. n→i(m) ≤ j ∧ 0 ≤ i → restn(m, getbytearray(r, i, j, st)) = getbytearray(r, i + n→i(m), j - n→i(m), st) ⊦ n→i(m +1) ≤ j ∧ 0 ≤ i → restn(m +1, getbytearray(r, i, j, st)) = getbytearray(r, i + n→i(m +1), j - n→i(m +1), st)

Rule argument

[VARWITHVARSEQSARG : n, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : nat generated by 0, +1;], [CSIMPSEQ : ⊦ restn(0, bytes) = bytes], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i - 0 = i])]]