| # avol0 = # avol1, # lpt = # avol1, lpt[n] = mklp(m, m0, lpf, m1), n < # avol1, ∀ n. n < # avol1 ∧ (n ∈ nx ∨ lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], ∀ n0. n0 < # avol1 ∧ (n0 ∈ nx ∨ lpt[n0].ref-size ≠ 0 ∨ lpt[n0].flags = LP_FREE) → avol0[n0] = avol1[n, aleb][n0] ⊦ aleb = avol0[n], ¬ n ∈ nx ∧ m = 0 ∧ lpf ≠ LP_FREE |
# lpt = # avol1, # avol0 = # avol1, lpt[n] = mklp(m, m0, lpf, m1), n < # avol1, ∀ n0. n0 < # avol1 ∧ (n0 ∈ nx ∨ lpt[n0].ref-size ≠ 0 ∨ lpt[n0].flags = LP_FREE) → avol0[n0] = avol1[n, aleb][n0], ∀ n. n < # avol1 ∧ (n ∈ nx ∨ lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n] ⊦ aleb = avol0[n], ¬ n ∈ nx ∧ m = 0 ∧ lpf ≠ LP_FREE