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Proof step 215 from proof refine-write-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf1 = EB_PAGE_SIZE, rofs ↔ false, rofs0 ↔ false, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n + m2, buf = copy(buf3, 0, copy(buf1, 0, mkbuf(n + m2), 0, m2), m2, n), err = err0, m0 = # buf2, m1 = buffered(m4).leb, n0 = n + m2, n1 = 0, wbuf = mkwbuf(buf1, # buf2, m2), buffered(m4).isbuf?, m2 < EB_PAGE_SIZE, m4 < # avol1, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(n + m2, EB_PAGE_SIZE), is-aligned(# buf2, EB_PAGE_SIZE), 0 + m2 ≤ # mkbuf(n + m2), 0 + m2 ≤ # buf1, m2 + n ≤ # copy(buf1, 0, mkbuf(n + m2), 0, m2), 0 + n ≤ # buf3, # avol1[m4].data + n3 ≤ LEB_SIZE, n3 ≤ # buf3, EB_PAGE_SIZE ≤ m2 + n3, # buf2 + m2 + n3 ≤ LEB_SIZE, n ≤ # buf3, # buf2 + n + m2 ≤ LEB_SIZE, ∀ n2. ¬(n2 < n0 ∧ is-aligned(n2, EB_PAGE_SIZE)), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨awbuf_write_buf#(n3, buf3, adr0, m3, plog0, lpt0, ns0, buffered(m4); avol1, rofs0; err1)⟩ (abs(avol1, buffered(m4), wbuf, avol0, true) ∧ (rofs0 ↔ true) ∧ err = err1), err = ESUCCESS, n3 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 216:
# avol0 = # avol1, # lpt0 = # avol1, # buf1 = EB_PAGE_SIZE, avol0[m4] = mapped(buf2), align↓(m2 + n3, EB_PAGE_SIZE) = n + m2, ¬ rofs, n3 ≠ 0, m2 < EB_PAGE_SIZE, m4 < # avol1, abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, false), awbuf-inv(avol1, buffered(m4)), ebm-vol-inv(avol0), is-aligned(n + m2, EB_PAGE_SIZE), is-aligned(# buf2, EB_PAGE_SIZE), # avol1[m4].data + n3 ≤ LEB_SIZE, n3 ≤ # buf3, EB_PAGE_SIZE ≤ m2 + n3, # buf2 + m2 + n3 ≤ LEB_SIZE, n ≤ # buf3, # buf2 + n + m2 ≤ LEB_SIZE, ⌊err0⌋ , ∀ n0. ¬ n0 < n + m2 ∨ ¬ is-aligned(n0, EB_PAGE_SIZE) ⊦ ⟨awbuf_write_buf#(n3, buf3, adr0, m3, plog0, lpt0, ns0, buffered(m4); avol1, rofs; err1)⟩ (abs(avol1, buffered(m4), mkwbuf(buf1, # buf2, m2), avol0, true) ∧ rofs ∧ err0 = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → m ≤ n; (s)% ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)% ⊦ buffered(m).isbuf?; (s)% ⊦ m ≤ m + n; (s)% ⊦ m ≤ m; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ # mkbuf(n) = n; (s)% ⊦ # copy(buf, m, buf0, m0, n) = # buf0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n + 0 = n; (s)