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Proof step 127 from proof prepost-read-log (previous step)

# buf = EB_PAGE_SIZE, LEB_SIZE = n1 + logoff0, avol[m5] = mapped(buf0), m5 < # avol, logoff0 < LEB_SIZE, ebm-vol-inv(avol), is-aligned(logoff0, EB_PAGE_SIZE), is-encoded(log0, buf0), is-encoded(log, subarray(buf0, 0, logoff0)), logoff0 + EB_PAGE_SIZE ≤ LEB_SIZE, logoff0 ≤ # buf0, ⌊err0⌋ ⊦ n1 = 0, ∃ buf1. # buf1 = EB_PAGE_SIZE ∧ EB_PAGE_SIZE ≤ # buf1

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 2 terms: buf

Additional information

Used simplifier rules: ⊦ m ≠ n → (m ≤ n ↔ m < n); (s)% ⊦ m ≤ n ↔ ¬ n < m; (ss)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%lf-02: ⊦ m < n ∧ m = n0 → n0 < n; (forward) from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ EB_PAGE_SIZE ≠ 0; (s)% ⊦ m < n → n ≠ 0; (s)% ⊦ ¬ n < n; (s)%# buf = n ⊦ subarray(buf, 0, n) = buf; (s)% ⊦ is-encoded(nx0, buf) → (is-encoded(nx1, buf) ↔ nx0 = nx1); (s)% ⊦ m < n → ¬ n < m; (s) Used terms: buf