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Proof step 8 from proof crash-neutral-remap (previous step)

# lpt = # avol, adr = adr0, m = m1, m0 = m2, ns = ns0, nx = nx0, m2 < # avol, awbuf-inv(avol, bleb), synced(avol), synced(avol0), avol0 ↓ avol ⊦ (⌊EIO⌋ ∨ EIO = ESUCCESS) ∧ ⟨err := EIO; if err = ESUCCESS then avol[m0] := mapped(mkbuf(0)) else {skip or avol[m0] := unmapped}⟩ (avol0 ↓ avol), buffered(m2) = bleb

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
# lpt = # avol, buffered(m2) ≠ bleb, m2 < # avol, awbuf-inv(avol, bleb), synced(avol), synced(avol0), avol0 ↓ avol ⊦ ⟨err := EIO; if err = ESUCCESS then avol[m2] := mapped(mkbuf(0)) else {skip or avol[m2] := unmapped}⟩ (avol0 ↓ avol)

Rule argument

Additional information

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