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Proof step 296 from proof refine-read-buf (previous step)

# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, avol1[m2] = mapped(buf1), buf = copy(avol0[m2].data + mkempbuf(LEB_SIZE - # avol0[m2].data), m0, buf0, 0, n), buf0 = buf3, err = ESUCCESS, err = err0, avol0[m2].mapped?, m2 < # avol1, m2 < # avol0, abs(avol1, bleb, mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), n ≤ # buf3, m0 + n ≤ LEB_SIZE, m0 + n ≤ #(avol0[m2].data + mkempbuf(LEB_SIZE - # avol0[m2].data)), 0 + n ≤ # buf0, LEB_SIZE ≥ # avol0[m2].data, bleb ≠ nobuffer → bleb.leb < # avol1 ∧ avol0[bleb.leb].mapped? ∧ m4 < EB_PAGE_SIZE ∧ (¬ rofs → # avol0[bleb.leb].data = m6) ∧ (rofs → m6 ≤ # avol0[bleb.leb].data) ∧ is-aligned(m6, EB_PAGE_SIZE), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟨awbuf_read_buf#(m2, m0, n, adr0, m5, plog0, avol1, lpt0, ns0, bleb, rofs; buf3; err1)⟩ (buf = buf3 ∧ err = err1), err = ESUCCESS ∧ buffered(m2) = bleb ∧ m0 ≤ m6 + m4 ∧ m6 ≤ m0 + n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 297:
# avol0 = # avol1, # lpt0 = # avol1, # buf2 = EB_PAGE_SIZE, avol0[m2] = mapped(buf0), avol1[m2] = mapped(buf1), buf = copy(buf0 + mkempbuf(LEB_SIZE - # buf0), m0, buf3, 0, n), m2 < # avol1, abs(avol1, bleb, mkwbuf(buf2, m6, m4), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), m0 + n ≤ LEB_SIZE, m0 + n ≤ # buf0 + (LEB_SIZE - # buf0), n ≤ # buf3, # buf0 ≤ LEB_SIZE, bleb ≠ nobuffer → bleb.leb < # avol1 ∧ avol0[bleb.leb].mapped? ∧ m4 < EB_PAGE_SIZE ∧ (¬ rofs → # avol0[bleb.leb].data = m6) ∧ (rofs → m6 ≤ # avol0[bleb.leb].data) ∧ is-aligned(m6, EB_PAGE_SIZE) ⊦ ⟨awbuf_read_buf#(m2, m0, n, adr0, m5, plog0, avol1, lpt0, ns0, bleb, rofs; buf3; err1)⟩ (buf = buf3 ∧ ESUCCESS = err1), buffered(m2) = bleb ∧ m0 ≤ m6 + m4 ∧ m6 ≤ m0 + n

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).data = buf; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)%append-a: ⊦ (buf + buf0) + buf1 = buf + buf0 + buf1; from specification array-splice[buffer]% ⊦ # mkempbuf(n) = n; (s)% ⊦ #(buf + buf0) = # buf + # 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)% ⊦ n ≥ m ↔ m ≤ n; (s)