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Proof step 30 from proof abs-istore-lpt-change-other (previous step)

lpt[n, mklp(m, m0, lpf0, m1)][n3].flags = LP_INDEX_NODES, lpt[n3] = mklp(m2, m4, lpf1, m5), lpt[n] = mklp(n0, n1, lpf, n2), istore[n3] = indexblock(indx, lax, m2), n3 < # lpt, abs-leb(avol[n3], indexblock(indx, lax, m2), mklp(m2, m4, lpf1, m5)), n3 ∈ istore, ∀ n3. (n3 < # lpt ∧ lpt[n, mklp(m, m0, lpf0, m1)][n3].flags = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n3], istore[n3], lpt[n3]) ∧ lpt[n3].ref-size = istore[n3].ref-size) ⊦ lpf = LP_INDEX_NODES, lpf0 = LP_INDEX_NODES, lpf1 = LP_INDEX_NODES

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 31:
istore[n3] = indexblock(indx, lax, m2), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n3] = mklp(m2, m4, lpf1, m5), lpt[n, mklp(m, m0, lpf0, m1)][n3] = mklp(m3, m6, lpf2, m7), lpf2 = LP_INDEX_NODES, n3 < # lpt, abs-leb(avol[n3], indexblock(indx, lax, m2), mklp(m2, m4, lpf1, m5)), n3 ∈ istore, ∀ n3. (n3 < # lpt ∧ lpt[n, mklp(m, m0, lpf0, m1)][n3].flags = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n3], istore[n3], lpt[n3]) ∧ lpt[n3].ref-size = istore[n3].ref-size) ⊦ lpf = LP_INDEX_NODES, lpf0 = LP_INDEX_NODES, lpf1 = LP_INDEX_NODES

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, mklp(m, m0, lpf0, m1)][n3], m3, m6, lpf2, m7]

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, mklp(m, m0, lpf0, m1)][n3], m3, m6, lpf2, m7