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Proof step 31 from proof abs-istore-avol-change-other (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 32:
istore[n3] = indexblock(indx, lax, m), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n3] = mklp(m0, m1, lpf0, m2), ∀ n. (n < # lpt ∧ lpt[n].flags = LP_INDEX_NODES ↔ n ∈ istore) ∧ (n ∈ istore → abs-leb(avol[n], istore[n], lpt[n]) ∧ lpt[n].ref-size = istore[n].ref-size) ⊦ lpf = LP_INDEX_NODES, (n3 < # lpt ∧ lpf0 = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n, aleb][n3], indexblock(indx, lax, m0), lpt[n3]) ∧ m0 = m)

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[n3], m0, m1, lpf0, m2]

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[n3], m0, m1, lpf0, m2