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Proof step 131 from proof prepost-read-log (previous step)

# buf = EB_PAGE_SIZE, LEB_SIZE = n1 + logoff0, avol[m5] = mapped(buf1), buf0 = buf, m = logoff0, m0 = m5, n = EB_PAGE_SIZE, n0 = 0, logoff0 < LEB_SIZE, m5 < # avol, ebm-vol-inv(avol), is-aligned(logoff0, EB_PAGE_SIZE), is-encoded(log, subarray(buf1, 0, logoff0)), is-encoded(log0, buf1), logoff0 ≤ # buf1, m0 < # avol → m0 < # avol ⊦ n1 = 0, m0 < # avol ∧ avol[m0].mapped? ∧ n0 + n ≤ # buf0 ∧ m + n ≤ LEB_SIZE

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 132:
# buf = EB_PAGE_SIZE, LEB_SIZE = n1 + logoff0, avol[m5] = mapped(buf1), n1 < EB_PAGE_SIZE, logoff0 < LEB_SIZE, m5 < # avol, LEB_SIZE < logoff0 + EB_PAGE_SIZE, ebm-vol-inv(avol), is-aligned(logoff0, EB_PAGE_SIZE), is-encoded(log, subarray(buf1, 0, logoff0)), is-encoded(log0, buf1), logoff0 ≤ # buf1 ⊦ EB_PAGE_SIZE = 1, n1 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ EB_PAGE_SIZE ≠ 0; (s)% ⊦ 1 < m ↔ ¬(m = 0 ∨ m = 1); (s)% ⊦ m +1 = m + 1; (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ EB_PAGE_SIZE + n = 0 ↔ false; (s)%transitivity: ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward) from specification oelem[nat-set]%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ m ≤ m; (s)% ⊦ mapped(buf).mapped?; (s)% ⊦ m < m + n ↔ n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)