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Proof step 48 from proof abs-istore-avol-change-other (previous step)

istore[n3] = indexblock(indx, lax, m), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n3] = mklp(m0, m1, LP_INDEX_NODES, m2), n3 < # lpt, ∀ 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 = n, n3 ∈ istore, n3 ∈ istore ∧ abs-leb(avol[n3], indexblock(indx, lax, m), mklp(m, m1, LP_INDEX_NODES, m2)) ∧ m0 = m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 49:
lpt[n3] = mklp(m0, m1, LP_INDEX_NODES, m2), lpt[n] = mklp(n0, n1, lpf, n2), (∅)[n3] = indexblock(indx, lax, m), n3 < # lpt, ∀ 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 = n, n3 ∈ istore

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ n ∈ istore → istore[n] = (∅)[n]; (s)