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Proof step 15 from proof ebm-vol-inv-write (previous step)

avol[n0] = mapped(buf), n0 < # avol, n < # avol, (avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE)) → aleb.mapped? → # aleb.data ≤ LEB_SIZE ∧ is-aligned(# aleb.data, EB_PAGE_SIZE), ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE) ⊦ n0 = n, # buf ≤ LEB_SIZE ∧ is-aligned(# buf, EB_PAGE_SIZE)

Heuristic quantifier applied rule all left

And obtained the following new goals

Proof step 16:
avol[n0] = mapped(buf), n < # avol, n0 < # avol, (avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE)) → aleb.mapped? → # aleb.data ≤ LEB_SIZE ∧ is-aligned(# aleb.data, EB_PAGE_SIZE), n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE), ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE) ⊦ n0 = n, # buf ≤ LEB_SIZE ∧ is-aligned(# buf, EB_PAGE_SIZE)

Rule argument

pos: left 5 terms: n

Additional information

Used terms: n