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Proof step 26 from proof inv-read-buf (previous step)

# buf1 = EB_PAGE_SIZE, # lpt = # avol, LEB_SIZE = n0 + # buf2, avol[m3] = mapped(buf2), n = n1 + (m0 ≤ m5 ⊃ m5 - m0;0), m3 < # avol, ebm-vol-inv(avol), wbuf-cons(mkwbuf(buf1, m5, m4), mapped(buf2), rofs), (m0 ≤ m5 ⊃ m5 - m0;0) ≤ # buf, m5 ≤ LEB_SIZE, m0 ≤ m5 + m4, m5 ≤ m0 + n, m0 + n ≤ LEB_SIZE, n ≤ # buf, # buf2 ≤ LEB_SIZE, (m0 ≤ m5 ⊃ m5 - m0;0) ≤ n, ¬ m0 ≤ m5 → m5 ≤ m0 ⊦ (m0 ≤ m5 ⊃ 0;m0 - m5) + min(n1, m4 - (m0 ≤ m5 ⊃ 0;m0 - m5)) ≤ EB_PAGE_SIZE ∧ (m0 ≤ m5 ⊃ m5 - m0;0) + min(n1, m4 - (m0 ≤ m5 ⊃ 0;m0 - m5)) ≤ # buf ∧ (m0 ≤ m5 ⊃ 0;m0 - m5) ≤ m4

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
# buf1 = EB_PAGE_SIZE, # lpt = # avol, LEB_SIZE = n0 + # buf2, avol[m3] = mapped(buf2), m3 < # avol, ebm-vol-inv(avol), wbuf-cons(mkwbuf(buf1, m5, m4), mapped(buf2), rofs), (m0 ≤ m5 ⊃ m5 - m0;0) ≤ # buf, m5 ≤ LEB_SIZE, m0 ≤ m5 + m4, m5 ≤ m0 + n1 + (m0 ≤ m5 ⊃ m5 - m0;0), m0 + n1 + (m0 ≤ m5 ⊃ m5 - m0;0) ≤ LEB_SIZE, n1 + (m0 ≤ m5 ⊃ m5 - m0;0) ≤ # buf, # buf2 ≤ LEB_SIZE, (m0 ≤ m5 ⊃ m5 - m0;0) + min(n1, m4 - (m0 ≤ m5 ⊃ 0;m0 - m5)) ≤ # buf, ¬ m0 ≤ m5 → m5 ≤ m0 ⊦ (m0 ≤ m5 ⊃ 0;m0 - m5) ≤ m4 ∧ (m0 ≤ m5 ⊃ 0;m0 - m5) + min(n1, m4 - (m0 ≤ m5 ⊃ 0;m0 - m5)) ≤ EB_PAGE_SIZE

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ n < min(n, m); (s)% ⊦ m + n < m + n0 ↔ n < n0; (s)% ⊦ m < m + n ↔ n ≠ 0; (s)% ⊦ m < n → n ≠ 0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m ≤ m + n; (s)