| # lpt = # avol1, # avol0 = # avol1, n < # avol1 ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore, remove-refsize0(istore)[n] = indexblock(indx, lax, m), lpt.map(λ lp. (lp.ref-size = 0 ∧ lp.flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lp.gcheapidx);lp))[n] = mklp(m0, m1, lpf, m2), istore[n] = indexblock(indx0, lax0, m3), n ∈ istore → abs-leb(avol0[n], istore[n], lpt[n]) ∧ lpt[n].ref-size = m3, ∀ n. n < # avol1 ∧ (lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], ¬(n < # avol1 ∧ lpf = LP_INDEX_NODES ↔ n ∈ remove-refsize0(istore)) ∨ ¬(n ∈ remove-refsize0(istore) → abs-leb(avol1[n], indexblock(indx, lax, m), mklp(m, m1, lpf, m2)) ∧ m0 = m) ⊦ |
# lpt = # avol1, # avol0 = # avol1, n < # avol1 ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore, remove-refsize0(istore)[n] = indexblock(indx, lax, m), lpt.map(λ lp. (lp.ref-size = 0 ∧ lp.flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lp.gcheapidx);lp))[n] = mklp(m0, m1, lpf, m2), istore[n] = indexblock(indx0, lax0, m3), n ∈ istore → abs-leb(avol0[n], indexblock(indx0, lax0, lpt[n].ref-size), lpt[n]) ∧ lpt[n].ref-size = m3, ∀ n. n < # avol1 ∧ (lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], ¬(n < # avol1 ∧ lpf = LP_INDEX_NODES ↔ n ∈ remove-refsize0(istore)) ∨ ¬(n ∈ remove-refsize0(istore) → abs-leb(avol1[n], indexblock(indx, lax, m), mklp(m, m1, lpf, m2)) ∧ m0 = m) ⊦