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Proof step 7 from proof ebm-vol-inv-write (previous step)

avol[n] = mapped(buf0), n < # avol, is-aligned(# buf0, EB_PAGE_SIZE), # buf0 ≤ LEB_SIZE, ∀ n0. n0 < # avol ∧ avol[n, mapped(buf)][n0].mapped? → # avol[n, mapped(buf)][n0].data ≤ LEB_SIZE ∧ is-aligned(# avol[n, mapped(buf)][n0].data, EB_PAGE_SIZE), ∀ n. n < # avol ∧ avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].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: ⊦ m < # avol → avol[m, aleb][m] = aleb; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf).data = buf; (s) Used terms: n