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Proof step 3 from proof down-written-eq (previous step)

# avol1 = # avol0, n < # avol0, ∀ n0. n0 < # avol0 → ( avol0[n, mapped(buf)][n0].mapped? → avol1[n0] = mapped(subarray(avol0[n, mapped(buf)][n0].data, 0, align↓(# avol0[n, mapped(buf)][n0].data, EB_PAGE_SIZE)))) ∧ (¬ avol0[n, mapped(buf)][n0].mapped? ∧ avol1[n0].mapped? → # avol1[n0].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n0].data, EB_PAGE_SIZE)) ⊦ avol1[n] = mapped(subarray(buf, 0, align↓(# buf, EB_PAGE_SIZE)))

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: n

Additional information

Used simplifier rules: ⊦ m < # avol → avol[m, aleb][m] = aleb; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf).data = buf; (s) Used terms: n