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Proof step 115 from proof refine-add-log-leb (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, avol0[m5] = mapped(buf), avol0[m] = mapped(buf1), m < # avol1, m5 < # avol1, m3 < EB_PAGE_SIZE, awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), is-aligned(# buf1, EB_PAGE_SIZE), synced(avol1), ∀ n. n < # avol1 → (n ≠ m → avol1[n] = avol0[n]) ∧ (n = m → avol1[m] = mapped(buf1 + subarray(buf0, 0, m3))) ⊦ m = m5, m3 = 0

User applied rule all left

And obtained the following new goals

Proof step 116:
# buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m] = mapped(buf1), avol0[m5] = mapped(buf), m3 < EB_PAGE_SIZE, m5 < # avol1, m < # avol1, awbuf-inv(avol1, buffered(m)), ebm-vol-inv(avol0), is-aligned(# buf1, EB_PAGE_SIZE), synced(avol1), m < # avol1 → (m ≠ m → avol1[m] = avol0[m]) ∧ (m = m → avol1[m] = mapped(buf1 + subarray(buf0, 0, m3))) ⊦ m = m5, m3 = 0

Rule argument

pos: left 13 terms: m abort: F discard: T computed: T

Additional information

Used terms: m