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Proof step 13 from proof bar-neq-soffset (previous step)

getbytearray(r, i0, i - i0, st) + getbytearray(r, i, j0 + i0 - i, st) = getbytearray(r0, i0, i - i0, st0) + getbytearray(r0, i, j0 + i0 - i, st0), i + j ≤ i0 + j0, 0 ≤ j0, i0 ≤ i, i ≤ i0 + j0 ⊦ getbytearray(r, i, j, st) = getbytearray(r0, i, j, st0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ # bytes = # bytes0 → (bytes + bytes1 = bytes0 + bytes2 ↔ bytes = bytes0 ∧ bytes1 = bytes2)
Proof step 8:
# getbytearray(r, i0, i - i0, st) ≠ # getbytearray(r0, i0, i - i0, st0), getbytearray(r, i0, i - i0, st) + getbytearray(r, i, j0 + i0 - i, st) = getbytearray(r0, i0, i - i0, st0) + getbytearray(r0, i, j0 + i0 - i, st0), i + j ≤ i0 + j0, 0 ≤ j0, i0 ≤ i, i ≤ i0 + j0 ⊦ getbytearray(r, i, j, st) = getbytearray(r0, i, j, st0)
Proof step 12:
# getbytearray(r, i0, i - i0, st) = # getbytearray(r0, i0, i - i0, st0), getbytearray(r, i0, i - i0, st) = getbytearray(r0, i0, i - i0, st0) ∧ getbytearray(r, i, j0 + i0 - i, st) = getbytearray(r0, i, j0 + i0 - i, st0), i + j ≤ i0 + j0, 0 ≤ j0, i0 ≤ i, i ≤ i0 + j0 ⊦ getbytearray(r, i, j, st) = getbytearray(r0, i, j, st0)

Rule argument

[speclemmaarg: , # bytes = # bytes0 → ( bytes + bytes1 = bytes0 + bytes2 ↔ bytes = bytes0 ∧ bytes1 = bytes2) ,[bytes2, bytes0, bytes1, bytes] → [getbytearray(r0, i, j0 + i0 - i, st0), getbytearray(r0, i0, i - i0, st0), getbytearray(r, i, j0 + i0 - i, st), getbytearray(r, i0, i - i0, st)] ,F ,list ,bytelist ,len-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (getbytearray(r0, i, j0 + i0 - i, st0), getbytearray(r0, i0, i - i0, st0), getbytearray(r, i, j0 + i0 - i, st), getbytearray(r, i0, i - i0, st))]]