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Proof step 4 from proof down-two-writtes (previous step)

# avol1 = # avol0, n < # avol0, ∀ n0. n0 < # avol0 → (avol0[n, aleb0][n0].mapped? → avol1[n0] = mapped(subarray(avol0[n, aleb0][n0].data, 0, align↓(# avol0[n, aleb0][n0].data, EB_PAGE_SIZE)))) ∧ (¬ avol0[n, aleb0][n0].mapped? ∧ avol1[n0].mapped? → # avol1[n0].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n0].data, EB_PAGE_SIZE)), ∀ n0. n0 < # avol0 → (avol0[n, aleb1][n0].mapped? → avol1[n0] = mapped(subarray(avol0[n, aleb1][n0].data, 0, align↓(# avol0[n, aleb1][n0].data, EB_PAGE_SIZE)))) ∧ (¬ avol0[n, aleb1][n0].mapped? ∧ avol1[n0].mapped? → # avol1[n0].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n0].data, EB_PAGE_SIZE)) ⊦ (aleb1.mapped? → avol1[n] = mapped(subarray(aleb1.data, 0, align↓(# aleb1.data, EB_PAGE_SIZE)))) ∧ (¬ aleb1.mapped? ∧ avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE))

User applied rule all left

And closed the goal!

Rule argument

pos: left 4 terms: n abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ m < # avol → avol[m, aleb][m] = aleb; (s) Used terms: n