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Proof step 6 from proof synced-add-log-leb (previous step)

⟨awbuf_add_log_leb#(m3, # avol[m3].data, adr, m2, avol, lpt, ns, isbuf; nx, bleb; err)⟩ (nx = nx1 ∧ bleb = bleb0 ∧ err = err0), # lpt = # avol, avol[m3] = mapped(buf), m = m2, m0 = # avol[m3].data, m1 = m3, avol[m3].mapped?, m3 < # avol, awbuf-inv(avol, bleb), synced(avol), avol0 ↓ avol ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then nx := nx + m1, bleb := buffered(m1)⟩ (nx1 = nx), nx1 = nx

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⟨awbuf_add_log_leb#(m3, # avol[m3].data, adr, m2, avol, lpt, ns, isbuf; nx, bleb; err)⟩ (nx = nx1 ∧ bleb = bleb0 ∧ err = err0), # lpt = # avol, avol[m3] = mapped(buf), nx1 ≠ nx, m3 < # avol, awbuf-inv(avol, bleb), synced(avol), avol0 ↓ avol ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then nx := nx + m3 ', bleb := buffered(m3)⟩ (nx1 = nx)

Rule argument

Additional information

Used simplifier rules: ⊦ mapped(buf) = mapped(buf0) ↔ buf = buf0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic% ⊦ nx + n = nx + n '; (s)% ⊦ aleb.mapped? ↔ (∃ buf. aleb = mapped(buf)); (as)