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Proof step 36 from proof refine-add-log-leb (previous step)

# buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol1[m5] = mapped(buf), bleb0 = bleb, wbuf = mkwbuf(buf0, m4, m3), m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ buffered(m5) → bleb = nobuffer ∨ m3 = 0 → avol0[m5].mapped?, bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], false), bleb = buffered(m5) ∨ (bleb = nobuffer ∨ m3 = 0) ∧ avol0[m5].mapped? ∧ # buf = # avol0[m5].data ⊦ ⟪wbuf_move_buf#(m5, # avol1[m5].data, false, avol0; bleb, wbuf; err)⟫ ⟨plog1 := plog0; awbuf_add_log_leb#(m5, # avol1[m5].data, adr0, m2, avol1, lpt0, ns0, false; plog0, bleb0; err1)⟩ (abs(avol1, bleb, wbuf, avol0, false) ∧ bleb0 = bleb ∧ plog0 = plog1 + m5 ' ∧ err = err1)

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 37:
# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, rofs ↔ false, avol1[m5] = mapped(buf), avol = avol0, bleb0 = bleb, m = # avol1[m5].data, m0 = m5, wbuf = mkwbuf(buf0, m4, m3), avol1[m5].mapped?, m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, false), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], false), bleb ≠ buffered(m5) → bleb = nobuffer ∨ m3 = 0 → avol0[m5].mapped?, bleb = buffered(m5) ∨ (bleb = nobuffer ∨ m3 = 0) ∧ avol0[m5].mapped? ∧ # buf = # avol0[m5].data ⊦ ⟪if ¬ rofs → bleb = buffered(m0) ∨ (bleb = nobuffer ∨ wbuf.nbytes = 0) ∧ m0 < # avol ∧ avol[m0].mapped? ∧ m = # avol[m0].data then if rofs then err := EROFS else {err := ESUCCESS; if bleb ≠ buffered(m0) then {bleb := buffered(m0); wbuf.offset := m; wbuf.nbytes := 0}} else abort⟫ ⟨plog1 := plog0; awbuf_add_log_leb#(m5, # avol1[m5].data, adr0, m2, avol1, lpt0, ns0, false; plog0, bleb0; err1)⟩ (abs(avol1, bleb, wbuf, avol0, false) ∧ bleb0 = bleb ∧ plog0 = plog1 + m5 ' ∧ err = err1)

Rule argument

pos: right 1

Additional information

Used simplifier rules: wbuf_move_buf#(LNUM, OFFSET, ROFS, PVOL; BUFLEB, WBUF; ERR) {if ¬ ROFS → BUFLEB = buffered(LNUM) ∨ (BUFLEB = nobuffer ∨ WBUF.nbytes = 0) ∧ LNUM < # PVOL ∧ PVOL[LNUM].mapped? ∧ OFFSET = # PVOL[LNUM].data then if ROFS then ERR := EROFS else {ERR := ESUCCESS; if BUFLEB ≠ buffered(LNUM) then {BUFLEB := buffered(LNUM); WBUF.offset := OFFSET; WBUF.nbytes := 0}} else abort };% ⊦ aleb.mapped? ↔ aleb ≠ unmapped; (ss)% ⊦ unmapped ≠ mapped(buf); (s)