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Proof step 43 from proof inv-read-buf (previous step)

# buf1 = EB_PAGE_SIZE, # lpt = # avol, # buf = n0 + n, avol[m3] = mapped(buf2), m3 < # avol, ebm-vol-inv(avol), m0 + n ≤ LEB_SIZE, ⌊err0⌋ , bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf1, m5, m4), avol[bleb.leb], rofs) ⊦ ∃ buf0. # buf0 = n0 + n ∧ range=(buf, n, buf0, n, n0)

Heuristic quantifier closing applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: buf

Additional information

Used simplifier rules: ⊦ range=(buf, n, buf, n, m) ↔ n + m ≤ # buf; (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%c: ⊦ m + n = n + m; from specification nat-basic%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ m < n → n ≠ 0; (s)% ⊦ m < n → ¬ n < m; (s) Used terms: buf