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Proof step 117 from proof refine-add-log-leb (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, avol0[m5] = mapped(buf), avol0[m] = mapped(buf1), avol1[m] = mapped(buf1 + subarray(buf0, 0, m3)), 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) ⊦ m = m5, m3 = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 118:
⊦ synced(avol) ↔ (∀ n. n < # avol ∧ avol[n].mapped? → is-aligned(# avol[n].data, EB_PAGE_SIZE))
Proof step 119:
# buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol1[m] = mapped(buf1 + subarray(buf0, 0, m3)), 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), ∀ n. n < # avol1 ∧ avol1[n].mapped? → is-aligned(# avol1[n].data, EB_PAGE_SIZE) ⊦ m = m5, m3 = 0

Rule argument

spec: awbuf-inv name: synced seq: ⊦ synced(avol) ↔ (∀ n. n < # avol ∧ avol[n].mapped? → is-aligned(# avol[n].data, EB_PAGE_SIZE)) subst: [avol] → [avol1] flags: <all paths>

Additional information

Used terms: avol1