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Proof step 7 from proof inv-read-buf (previous step)

# buf1 = EB_PAGE_SIZE, # lpt = # avol, avol[m] = mapped(buf0), m2 = m0, m3 = m, wbuf = mkwbuf(buf1, m5, m4), m < # avol, ebm-vol-inv(avol), m0 + n ≤ LEB_SIZE, n ≤ # buf, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf1, m5, m4), avol[bleb.leb], rofs) ⊦ ⟪apersistence_io_read#(m3, m2, 0, n, adr, m1, plog, avol, lpt, ns; buf; err); if err = ESUCCESS ∧ buffered(m3) = bleb ∧ m2 ≤ wbuf.offset + wbuf.nbytes ∧ wbuf.offset ≤ m2 + n then let m0 = (m2 ≤ wbuf.offset ⊃ 0;m2 - wbuf.offset), m = (m2 ≤ wbuf.offset ⊃ wbuf.offset - m2;0) in buf := copy(wbuf.content, m0, buf, m, min(n - m, wbuf.nbytes - m0))⟫ true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
# lpt = # avol, # buf1 = EB_PAGE_SIZE, avol[m] = mapped(buf0), m < # avol, ebm-vol-inv(avol), n ≤ # buf, m0 + n ≤ LEB_SIZE, bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf1, m5, m4), avol[bleb.leb], rofs) ⊦ ⟪apersistence_io_read#(m, m0, 0, n, adr, m1, plog, avol, lpt, ns; buf; err); if err = ESUCCESS ∧ buffered(m) = bleb ∧ m0 ≤ m5 + m4 ∧ m5 ≤ m0 + n then let m = (m0 ≤ m5 ⊃ 0;m0 - m5), m1 = (m0 ≤ m5 ⊃ m5 - m0;0) in buf := copy(buf1, m, buf, m1, min(n - m1, m4 - m))⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ mkwbuf(buf, m, m0).nbytes = m0; (s)% ⊦ mkwbuf(buf, m, m0).content = buf; (s)% ⊦ mkwbuf(buf, m, m0).offset = m; (s)