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Proof step 14 from proof bar-sublist (previous step)

0 ≤ i1 + n→i(n), 0 ≤ i1 ⊦ sublist(0, n, getbytearray(r, i + n→i(m), n→i(n), st) + getbytearray(r, (i + n→i(m)) + n→i(n), i1, st)) = getbytearray(r, i + n→i(m), n→i(n), st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ n + m ≤ # bytes → sublist(n, m, bytes + bytes0) = sublist(n, m, bytes)
Proof step 8:
⊦ # getbytearray(r, i, n→i(m), st) = m
Proof step 13:
0 + n ≤ # getbytearray(r, i + n→i(m), n→i(n), st), 0 ≤ i1 + n→i(n), 0 ≤ i1 ⊦ sublist(0, n, getbytearray(r, i + n→i(m), n→i(n), st)) = getbytearray(r, i + n→i(m), n→i(n), st)

Rule argument

[speclemmaarg: , n + m ≤ # bytes → sublist(n, m, bytes + bytes0) = sublist(n, m, bytes) ,[bytes0, bytes, m, n] → [getbytearray(r, (i + n→i(m)) + n→i(n), i1, st), getbytearray(r, i + n→i(m), n→i(n), st), n, 0] ,F ,list-del ,bytelist ,sublist-append ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ 0 + m = m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ ¬ m ≤ n ↔ n < m], [CSIMPSEQ : ⊦ ¬ n < n])], [EXTRATERMS : (getbytearray(r, (i + n→i(m)) + n→i(n), i1, st), getbytearray(r, i + n→i(m), n→i(n), st), n, 0)]]