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Proof step 20 from proof abs-istore-avol-change-other (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
lpt[n3] = mklp(m, m1, LP_INDEX_NODES, m2), lpt[n] = mklp(n0, n1, lpf, n2), istore[n3] = indexblock(indx, lax, m), n3 < # lpt, abs-leb(avol[n, aleb][n3], indexblock(indx, lax, m), mklp(m, m1, LP_INDEX_NODES, m2)), n3 ∈ istore, ∀ n0. (n0 < # lpt ∧ lpt[n0].flags = LP_INDEX_NODES ↔ n0 ∈ istore) ∧ (n0 ∈ istore → abs-leb(avol[n, aleb][n0], istore[n0], lpt[n0]) ∧ lpt[n0].ref-size = istore[n0].ref-size) ⊦ lpf = LP_INDEX_NODES, abs-leb(avol[n3], indexblock(indx, lax, m), mklp(m, m1, LP_INDEX_NODES, m2))

Rule argument

Additional information

Used simplifier rules: ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s)% ⊦ indexblock(indx, lax, m).ref-size = m; (s)% ⊦ mklp(n2, n3, lpf, m).ref-size = n2; (s)