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Proof step 49 from proof prepost-read-superblock (previous step)

avol[0] = mapped(buf1), LEB_SIZE < # buf1, ebm-vol-inv(avol), is-encoded(sb0, buf1), LEB_SIZE ≤ # buf1 + (LEB_SIZE - # buf1) ⊦ # avol = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 50:
⊦ 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 51:
avol[0] = mapped(buf1), LEB_SIZE < # buf1, is-encoded(sb0, buf1), LEB_SIZE ≤ # buf1 + (LEB_SIZE - # buf1), ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE) ⊦ # avol = 0

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