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Proof step 29 from proof abs-istore-replay-lpt-unchanged (previous step)

# lpt = # avol1, # avol0 = # avol1, istore[n] = indexblock(indx, lax, m), replay-lpt(lpt, nx, # avol1)[n] = mklp(m, m1, LP_INDEX_NODES, m2), n < # avol1, abs-leb(avol0[n], indexblock(indx, lax, m), mklp(m, m1, LP_INDEX_NODES, m2)), n ∈ istore, n ∈ nx ∨ lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE → avol0[n] = avol1[n] ⊦ m = 0, abs-leb(avol1[n], indexblock(indx, lax, m), mklp(m, m1, LP_INDEX_NODES, m2))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 30:
# avol0 = # avol1, # lpt = # avol1, replay-lpt(lpt, nx, # avol1)[n] = mklp(m, m1, LP_INDEX_NODES, m2), istore[n] = indexblock(indx, lax, m), lpt[n] = mklp(m0, m3, lpf, m4), n < # avol1, abs-leb(avol0[n], indexblock(indx, lax, m), mklp(m, m1, LP_INDEX_NODES, m2)), n ∈ istore, n ∈ nx ∨ m0 ≠ 0 ∨ lpf = LP_FREE → avol0[n] = avol1[n] ⊦ m = 0, abs-leb(avol1[n], indexblock(indx, lax, m), mklp(m, m1, LP_INDEX_NODES, m2))

Rule argument

spec: lprops name: elim seq: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1) subst: [lp, m, m0, lpf, m1] → [lpt[n], m2, m3, lpf, m5]

Additional information

Used simplifier rules: ⊦ ((m = lp.ref-size ∧ m0 = lp.size) ∧ lpf = lp.flags) ∧ m1 = lp.gcheapidx ↔ lp = mklp(m, m0, lpf, m1); (elim) Used terms: lpt[n], m2, m3, lpf, m5