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Proof step 3 from proof flush-padding-space-write (previous step)

EB_PAGE_SIZE = # buf1 + # buf0 % EB_PAGE_SIZE, avol[n] = mapped(buf0), LEB_SIZE < # buf0 + # buf1, n < # avol, awbuf-inv(avol, bleb) ⊦ is-aligned(# buf0, EB_PAGE_SIZE)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ awbuf-inv(avol, bleb) ↔ ¬ ¬ ( (∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol[n].data, EB_PAGE_SIZE))) ∧ (bleb ≠ nobuffer → bleb.leb < # avol ∧ avol[bleb.leb].mapped?))
Proof step 5:
EB_PAGE_SIZE = # buf1 + # buf0 % EB_PAGE_SIZE, avol[n] = mapped(buf0), n < # avol, LEB_SIZE < # buf0 + # buf1, bleb ≠ nobuffer → bleb.leb < # avol ∧ avol[bleb.leb].mapped?, ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ (buffered(n) ≠ bleb → is-aligned(# avol[n].data, EB_PAGE_SIZE)) ⊦ is-aligned(# buf0, EB_PAGE_SIZE)

Rule argument

spec: awbuf-inv name: awbuf-inv-def seq: ⊦ awbuf-inv(avol, bleb) ↔ ¬ ¬ ( (∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ ( buffered(n) ≠ bleb → is-aligned(# avol[n].data, EB_PAGE_SIZE))) ∧ ( bleb ≠ nobuffer → bleb.leb < # avol ∧ avol[bleb.leb].mapped?)) subst: [bleb, avol] → [bleb, avol] flags: <all paths>

Additional information

Used terms: bleb, avol