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Proof step 3 from proof down-written-not-down-before (previous step)

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

User applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

Additional information