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Proof step 69 from proof refine-add-log-leb (previous step)

# buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol0[m5] = mapped(buf2), avol1[m5] = mapped(buf), bleb0 = buffered(m5), plog1 = plog0, m5 < # avol1, abs(avol1, buffered(m5), mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, buffered(m5)), ebm-vol-inv(avol0), synced(avol1), wbuf-cons(mkwbuf(buf0, m4, m3), mapped(buf2), false) ⊦ ⟨awbuf_add_log_leb#(m5, # avol1[m5].data, adr0, m2, avol1, lpt0, ns0, false; plog0, bleb0; err1)⟩ (bleb0 = buffered(m5) ∧ plog0 = plog1 + m5 ' ∧ ESUCCESS = err1)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 70:
# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, rofs ↔ false, avol1[m5] = mapped(buf), avol0[m5] = mapped(buf2), adr = adr0, avol = avol1, bleb = bleb0, bleb0 = buffered(m5), lpt = lpt0, m = m2, m0 = # avol1[m5].data, m1 = m5, ns = ns0, plog = plog0, plog1 = plog0, avol1[m5].mapped?, m5 < # avol1, abs(avol1, buffered(m5), mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, buffered(m5)), ebm-vol-inv(avol0), synced(avol1), wbuf-cons(mkwbuf(buf0, m4, m3), mapped(buf2), false) ⊦ ⟨if m1 < # avol ∧ avol[m1].mapped? ∧ m0 = # avol[m1].data ∧ synced(avol) then {fail_or_success#(; ; err); if err = ESUCCESS then plog := plog + m1, bleb := buffered(m1)} else abort⟩ (bleb = buffered(m5) ∧ plog = plog1 + m5 ' ∧ ESUCCESS = err)

Rule argument

pos: right 1

Additional information

Used simplifier rules: awbuf_add_log_leb# (LNUM, OFFSET, WROOTADR, WMAXINO, WVOL, WLPT, WORPHANS, AROFS ; WLOG, WBUFLEB ; ERR ) {if LNUM < # WVOL ∧ WVOL[LNUM].mapped? ∧ OFFSET = # WVOL[LNUM].data ∧ synced(WVOL) then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then WLOG := WLOG + LNUM, WBUFLEB := buffered(LNUM)} else abort };% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → (n ≤ m ↔ false); (s)%n < # avol ⊦ abs(avol, bleb, wbuf, avol0, rofs) ∧ avol0[n] = mapped(buf) → (avol[n].mapped? ↔ true); (ss)