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Proof step 6 from proof synced-remap (previous step)

⟨awbuf_remap#(m2, adr, m1, nx, lpt, ns, bleb, isbuf; avol; err)⟩ (avol = avol1 ∧ err = err0), # lpt = # avol, m = m1, m0 = m2, m2 < # avol, awbuf-inv(avol, bleb), synced(avol), avol0 ↓ avol1 ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then avol[m0] := mapped(mkbuf(0)) else {skip or avol[m0] := unmapped}⟩ (synced(avol) ∧ avol0 ↓ avol), buffered(m2) = bleb, avol0 ↓ avol

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⟨awbuf_remap#(m2, adr, m1, nx, lpt, ns, bleb, isbuf; avol; err)⟩ (avol = avol1 ∧ err = err0), # lpt = # avol, buffered(m2) ≠ bleb, m2 < # avol, awbuf-inv(avol, bleb), synced(avol), avol0 ↓ avol1, ¬ avol0 ↓ avol ⊦ ⟨fail_or_success#(; ; err); if err = ESUCCESS then avol[m2] := mapped(mkbuf(0)) else {skip or avol[m2] := unmapped}⟩ (synced(avol) ∧ avol0 ↓ avol)

Rule argument

Additional information

Used simplifier rules: lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic