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Proof step 22 from proof refine-destroy-buf (previous step)

# avol0 = # avol, # lpt0 = # avol, # buf = EB_PAGE_SIZE, abs(avol, bleb, mkwbuf(buf, m2, m1), avol0, false), awbuf-inv(avol, bleb), ebm-vol-inv(avol0), synced(avol), bleb ≠ nobuffer → bleb.leb < # avol ∧ wbuf-cons(mkwbuf(buf, m2, m1), avol0[bleb.leb], false) ⊦ avol = avol0 ∧ nobuffer = nobuffer ∧ ESUCCESS = ESUCCESS

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
# avol0 = # avol, # lpt0 = # avol, # buf = EB_PAGE_SIZE, avol0[bleb.leb] = mapped(buf0), bleb.leb < # avol, abs(avol, bleb, mkwbuf(buf, m2, m1), avol0, false), awbuf-inv(avol, bleb), ebm-vol-inv(avol0), synced(avol), wbuf-cons(mkwbuf(buf, m2, m1), mapped(buf0), false) ⊦ avol = avol0, bleb = nobuffer

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf).mapped?; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)% ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic%wbuf-cons-mapped: ⊦ wbuf-cons(wbuf, aleb, boolvar) → aleb.mapped?; (forward) from specification wbuf-base% ⊦ abs(avol0, nobuffer, wbuf, avol1, rofs) ↔ avol0 = avol1; (s)