| # lpt = # avol, adr = adr0, lpt0 = lpt, m0 = m1, ns = ns0, nx = nx0, m < # avol, awbuf-inv(avol, bleb), synced(avol0), synced(avol), avol0 ↓ avol ⊦ ⟨awbuf_remap#(m, adr0, m1, nx0, lpt, ns0, bleb, isbuf; avol; err)⟩ (synced(avol0) ∧ adr = adr0 ∧ m0 = m1 ∧ nx = nx0 ∧ lpt0 = lpt ∧ avol0 ↓ avol ∧ ns = ns0), buffered(m) = bleb |
# lpt = # avol, buffered(m) ≠ bleb, m < # avol, awbuf-inv(avol, bleb), synced(avol0), synced(avol), avol0 ↓ avol ⊦ ⟨awbuf_remap#(m, adr0, m1, nx0, lpt, ns0, bleb, isbuf; avol; err)⟩ (avol0 ↓ avol)
Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%lf-01: ⊦ m < n ∧ n = n0 → m < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic