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Proof step 1 from proof synced-unmap (conclusion)

synced(avol), m < # avol, buffered(m) ≠ bleb, ⟨awbuf_unmap#(m, adr, m0, nx, lpt, ns, bleb, isbuf; avol)⟩ (adr0 = adr ∧ m1 = m0 ∧ nx0 = nx ∧ lpt0 = lpt ∧ avol0 ↓ avol ∧ ns0 = ns), awbuf-inv(avol, bleb), # lpt = # avol ⊦ ⟨awbuf_unmap#(m, adr, m0, nx, lpt, ns, bleb, isbuf; avol)⟩ (synced(avol) ∧ adr0 = adr ∧ m1 = m0 ∧ nx0 = nx ∧ lpt0 = lpt ∧ avol0 ↓ avol ∧ ns0 = ns), adr0 = adr ∧ m1 = m0 ∧ nx0 = nx ∧ lpt0 = lpt ∧ avol0 ↓ avol ∧ ns0 = ns

System applied rule normalize

And obtained the following new goals

Proof step 2:
⟨awbuf_unmap#(m, adr, m0, nx, lpt, ns, bleb, isbuf; avol)⟩ (adr0 = adr ∧ m1 = m0 ∧ nx0 = nx ∧ lpt0 = lpt ∧ avol0 ↓ avol ∧ ns0 = ns), # lpt = # avol, m < # avol, awbuf-inv(avol, bleb), synced(avol) ⊦ ⟨awbuf_unmap#(m, adr, m0, nx, lpt, ns, bleb, isbuf; avol)⟩ (synced(avol) ∧ adr0 = adr ∧ m1 = m0 ∧ nx0 = nx ∧ lpt0 = lpt ∧ avol0 ↓ avol ∧ ns0 = ns), buffered(m) = bleb, adr0 = adr ∧ m1 = m0 ∧ nx0 = nx ∧ lpt0 = lpt ∧ avol0 ↓ avol ∧ ns0 = ns

Proof step 1 from proof synced-unmap (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information