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Proof step 5 from proof le-inv (previous step)

# avol1 = # avol0, avol0[n] = mapped(buf), n < # avol0, avol1[n].mapped? → # avol1[n].data ≤ LEB_SIZE ∧ is-aligned(# avol1[n].data, EB_PAGE_SIZE), ∀ m. m < # avol0 → (avol1[m].mapped? → avol0[m] = avol1[m]) ∧ (avol1[m] = unmapped ∧ avol0[m].mapped? → # avol0[m].data ≤ LEB_SIZE ∧ is-aligned(# avol0[m].data, EB_PAGE_SIZE)) ⊦ # buf ≤ LEB_SIZE ∧ is-aligned(# buf, EB_PAGE_SIZE)

User applied rule all left

And closed the goal!

Rule argument

pos: left 5 terms: n abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ aleb.mapped? ↔ aleb ≠ unmapped; (ss)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)% ⊦ unmapped ≠ mapped(buf); (s) Used terms: n