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Proof step 11 from proof abs-istore-avol-change-other (previous step)

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

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 12:
istore[n3] = indexblock(indx, lax, m), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n3] = mklp(m0, m1, lpf0, m2), lpf0 = LP_INDEX_NODES, n3 < # lpt, ∀ 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, (lpf0 = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n3], indexblock(indx, lax, m), mklp(m, m1, lpf0, m2)) ∧ m0 = m)
Proof step 24:
istore[n3] = indexblock(indx, lax, m), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n3] = mklp(m0, m1, lpf0, m2), n3 < # lpt, ∀ 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, lpf0 = LP_INDEX_NODES, (lpf0 = LP_INDEX_NODES ↔ n3 ∈ istore) ∧ (n3 ∈ istore → abs-leb(avol[n3], indexblock(indx, lax, m), mklp(m, m1, lpf0, m2)) ∧ m0 = m)

Rule argument

fma: lpf0 = LP_INDEX_NODES

Additional information

Used formulas: lpf0 = LP_INDEX_NODES