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Proof step 256 from proof refine-write-buf (previous step)

# buf1 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol1[m4] = mapped(buf0), avol0[m4] = mapped(buf2), m4 < # avol1, m2 + n < EB_PAGE_SIZE, m2 < EB_PAGE_SIZE, n0 < # avol1, awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(# buf2, EB_PAGE_SIZE), # buf2 + m2 + n ≤ LEB_SIZE, n ≤ # buf, # buf0 + n ≤ LEB_SIZE, ∀ n1. n1 < # avol1 → (n1 ≠ m4 → avol1[n1] = avol0[n1]) ∧ (n1 = m4 → buf0 = buf2 + subarray(buf1, 0, m2)) ⊦ (n0 ≠ m4 → avol1[n0] = avol0[n0]) ∧ (n0 = m4 → buf0 + subarray(buf, 0, n) = buf2 + subarray(copy(buf, 0, buf1, m2, n), 0, m2 + n))

User applied rule all left

And obtained the following new goals

Proof step 257:
# avol0 = # avol1, # lpt0 = # avol1, # buf1 = EB_PAGE_SIZE, avol0[m4] = mapped(buf2), avol1[m4] = mapped(buf0), n0 < # avol1, m2 < EB_PAGE_SIZE, m2 + n < EB_PAGE_SIZE, m4 < # avol1, awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(# buf2, EB_PAGE_SIZE), # buf0 + n ≤ LEB_SIZE, n ≤ # buf, # buf2 + m2 + n ≤ LEB_SIZE, n0 < # avol1 → (n0 ≠ m4 → avol1[n0] = avol0[n0]) ∧ (n0 = m4 → buf0 = buf2 + subarray(buf1, 0, m2)) ⊦ (n0 ≠ m4 → avol1[n0] = avol0[n0]) ∧ (n0 = m4 → buf0 + subarray(buf, 0, n) = buf2 + subarray(copy(buf, 0, buf1, m2, n), 0, m2 + n))

Rule argument

pos: left 16 terms: n0 abort: F discard: T computed: T

Additional information

Used terms: n0