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Proof step 9 from proof inv-change (previous step)

err0 = ESUCCESS, m < # avol, ebm-vol-inv(avol), is-aligned(n, EB_PAGE_SIZE), n ≤ LEB_SIZE, n ≤ # buf, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪avol[m] := mapped(subarray(buf, 0, n))⟫ ebm-vol-inv(avol)

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%n < # avol ⊦ ebm-vol-inv(avol) → ( ebm-vol-inv(avol[n, aleb]) ↔ ( avol[n].mapped? → # avol[n].data ≤ LEB_SIZE ∧ is-aligned(# avol[n].data, EB_PAGE_SIZE)) → aleb.mapped? → # aleb.data ≤ LEB_SIZE ∧ is-aligned(# aleb.data, EB_PAGE_SIZE)); (ss)% ⊦ mapped(buf).mapped?; (s)% ⊦ mapped(buf).data = buf; (s)% ⊦ # subarray(buf, m, n) = n; (s)