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Proof step 4 from proof synced-commit (previous step)

⟨awbuf_commit#(lpt, adr, m, avol, bleb; ns, adr0, m0, nx, lpt0, ns0, isbuf; err)⟩ (ns = ns2 ∧ adr0 = adr2 ∧ m0 = m2 ∧ nx = nx1 ∧ lpt0 = lpt2 ∧ ns0 = ns3 ∧ (isbuf ↔ isbuf0) ∧ err = err0), # lpt0 = # avol, # lpt = # avol, awbuf-inv(avol, bleb), synced(avol), avol0 ↓ avol ⊦ ⟨awbuf_commit#(lpt, adr, m, avol, bleb; ns, adr0, m0, nx, lpt0, ns0, isbuf; err)⟩ (adr2 = adr0 ∧ m2 = m0 ∧ nx1 = nx ∧ lpt2 = lpt0 ∧ ns3 = ns0), adr2 = adr0 ∧ m2 = m0 ∧ nx1 = nx ∧ lpt2 = lpt0 ∧ ns3 = ns0

Heuristic nonrecursive calls applied rule call right

And obtained the following new goals

Proof step 5:
⟨awbuf_commit#(lpt3, adr3, m3, avol, bleb; ns4, adr1, m1, nx, lpt1, ns1, isbuf; err)⟩ (ns4 = ns2 ∧ adr1 = adr2 ∧ m1 = m2 ∧ nx = nx1 ∧ lpt1 = lpt2 ∧ ns1 = ns3 ∧ (isbuf ↔ isbuf0) ∧ err = err0), # lpt3 = # avol, # lpt1 = # avol, adr = adr1, adr0 = adr3, lpt = lpt1, lpt0 = lpt3, m = m1, m0 = m3, ns = ns1, ns0 = ns4, awbuf-inv(avol, bleb), synced(avol), avol0 ↓ avol ⊦ ⟨if synced(avol) ∧ # lpt0 = # avol then {fail_or_success#(; ; err); if err = ESUCCESS then {adr := adr0; m := m0; nx := []; lpt := lpt0; ns := ns0} else isbuf := true; ns0 := ?} else abort⟩ (adr2 = adr ∧ m2 = m ∧ nx1 = nx ∧ lpt2 = lpt ∧ ns3 = ns), adr2 = adr1 ∧ m2 = m1 ∧ nx1 = nx ∧ lpt2 = lpt1 ∧ ns3 = ns1

Rule argument

pos: right 1

Additional information

Used simplifier rules: commit: ⊦ ;