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Proof step 8 from proof refine-remap (previous step)

# buf = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, buffered(m4) ≠ bleb0, m4 < # avol1, abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol0, rofs), awbuf-inv(avol1, bleb0), ebm-vol-inv(avol0), synced(avol1), bleb0 ≠ nobuffer → bleb0.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m3, m2), avol0[bleb0.leb], rofs) ⊦ ⟪apersistence_io_remap#(m4, adr0, m1, plog0, lpt0, ns0; avol0; err)⟫ ⟨awbuf_remap#(m4, adr0, m1, plog0, lpt0, ns0, bleb0, rofs; avol1; err0)⟩ (abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol0, rofs) ∧ err = err0)

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 9:
# avol0 = # avol1, # lpt0 = # avol1, # buf = EB_PAGE_SIZE, adr = adr0, avol = avol0, lpt = lpt0, m = m1, m0 = m4, ns = ns0, plog = plog0, m4 < # avol1, abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol0, rofs), awbuf-inv(avol1, bleb0), ebm-vol-inv(avol0), synced(avol1), bleb0 ≠ nobuffer → bleb0.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf, m3, m2), avol0[bleb0.leb], rofs) ⊦ ⟪if m0 < # avol then {fail_or_success#(; ; err); if err = ESUCCESS then avol[m0] := mapped(mkbuf(0)) else {skip or avol[m0] := unmapped}} else abort⟫ ⟨awbuf_remap#(m4, adr0, m1, plog0, lpt0, ns0, bleb0, rofs; avol1; err0)⟩ (abs(avol1, bleb0, mkwbuf(buf, m3, m2), avol, rofs) ∧ err = err0), buffered(m4) = bleb0

Rule argument

pos: right 1

Additional information

Used simplifier rules: apersistence_io_remap# (LNUM, PROOTADR, PMAXINO, PLOG, PLPT, PORPHANS; PVOL; ERR) {if LNUM < # PVOL then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then PVOL[LNUM] := mapped(mkbuf(0)) else {skip or PVOL[LNUM] := unmapped}} else abort };