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Proof step 10 from proof getbar-restn-01 (previous step)

st[r -- _length] .intval = i + n→i(n), 0 ≤ i ⊦ restn(n, getbytearray(r, 0, n→i(n), st) + getbytearray(r, n→i(n), i, st)) = getbytearray(r, n→i(n), i, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ n ≤ # bytes → restn(n, bytes + bytes0) = restn(n, bytes) + bytes0
Proof step 4:
⊦ # getbytearray(r, i, n→i(m), st) = m
Proof step 9:
n ≤ # getbytearray(r, 0, n→i(n), st), st[r -- _length] .intval = i + n→i(n), 0 ≤ i ⊦ restn(n, getbytearray(r, 0, n→i(n), st)) + getbytearray(r, n→i(n), i, st) = getbytearray(r, n→i(n), i, st)

Rule argument

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

Additional information

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