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Proof step 7 from proof refine-add-log-leb (previous step)

# buf0 = EB_PAGE_SIZE, # lpt0 = # avol1, # avol0 = # avol1, avol1[m5] = mapped(buf), adr = adr0, avol = avol0, bleb0 = bleb, lpt = lpt0, m = m2, m0 = # avol1[m5].data, m1 = m5, ns = ns0, plog = plog0, plog1 = plog0, wbuf = mkwbuf(buf0, m4, m3), wbuf = mkwbuf(buf1, m6, m7), avol1[m5].mapped?, m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], rofs) ⊦ ⟪if ¬ rofs → bleb = buffered(m1) ∨ (bleb = nobuffer ∨ m7 = 0) ∧ m1 < # avol ∧ avol[m1].mapped? ∧ m0 = # avol[m1].data then if rofs then err := EROFS else {apersistence_io_add_log_leb#(m1, adr, m, avol, lpt, ns; plog; err); if err = ESUCCESS then wbuf_move_buf#(m1, m0, rofs, avol; bleb, wbuf; err)} else abort⟫ ⟨awbuf_add_log_leb#(m5, # avol1[m5].data, adr0, m2, avol1, lpt0, ns0, rofs; plog1, bleb0; err0)⟩ (abs(avol1, bleb, wbuf, avol0, rofs) ∧ bleb0 = bleb ∧ plog1 = plog ∧ err = err0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
# avol0 = # avol1, # lpt0 = # avol1, # buf0 = EB_PAGE_SIZE, avol1[m5] = mapped(buf), bleb0 = bleb, plog = plog0, wbuf = mkwbuf(buf0, m4, m3), m5 < # avol1, abs(avol1, bleb, mkwbuf(buf0, m4, m3), avol0, rofs), awbuf-inv(avol1, bleb), ebm-vol-inv(avol0), synced(avol1), bleb ≠ nobuffer → bleb.leb < # avol1 ∧ wbuf-cons(mkwbuf(buf0, m4, m3), avol0[bleb.leb], rofs) ⊦ ⟪if ¬ rofs → bleb = buffered(m5) ∨ (bleb = nobuffer ∨ m3 = 0) ∧ avol0[m5].mapped? ∧ # avol1[m5].data = # avol0[m5].data then if rofs then err := EROFS else {apersistence_io_add_log_leb#(m5, adr0, m2, avol0, lpt0, ns0; plog; err); if err = ESUCCESS then wbuf_move_buf#(m5, # avol1[m5].data, rofs, avol0; bleb, wbuf; err)} else abort⟫ ⟨awbuf_add_log_leb#(m5, # avol1[m5].data, adr0, m2, avol1, lpt0, ns0, rofs; plog0, bleb0; err0)⟩ (abs(avol1, bleb, wbuf, avol0, rofs) ∧ bleb0 = bleb ∧ plog0 = plog ∧ err = err0)

Rule argument

Additional information

Used simplifier rules: ⊦ abs(avol0, bleb, wbuf, avol1, rofs) → ¬ # avol1 < # avol0; (s)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat% ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ m < n → n ≠ 0; (s)% ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)%⊦ mkwbuf(buf, m, m0) = mkwbuf(buf0, m1, m2) ↔ buf = buf0 ∧ m = m1 ∧ m0 = m2; (ws)