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Proof step 18 from proof inv-move-buf (previous step)

# buf = EB_PAGE_SIZE, # lpt = # avol, avol[m4] = mapped(buf0), m4 < # avol, ebm-vol-inv(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], false), bleb = nobuffer ∨ m2 = 0 ⊦ bleb = buffered(m4), is-aligned(# buf0, EB_PAGE_SIZE)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ ebm-vol-inv(avol) ↔ (∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE))
Proof step 20:
# lpt = # avol, # buf = EB_PAGE_SIZE, avol[m4] = mapped(buf0), m4 < # avol, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m1, m2), avol[bleb.leb], false), ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE), bleb = nobuffer ∨ m2 = 0 ⊦ bleb = buffered(m4), is-aligned(# buf0, EB_PAGE_SIZE)

Rule argument

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

Additional information

Used terms: avol