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Proof step 13 from proof abs-istore-set-lebsize (previous step)

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

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 14:
n < # lpt ↔ n ∈ istore, lpt[n] = mklp(n0, n1, LP_INDEX_NODES, n2), lpt[n, mklp(n0, LEB_SIZE, LP_INDEX_NODES, n2)][n] = mklp(m0, m1, lpf, m2), istore[n] = indexblock(indx, lax, m), n < # avol, n < # lpt, n ∈ istore → abs-leb(avol[n], indexblock(indx, lax, m), mklp(m, n1, LP_INDEX_NODES, n2)) ∧ n0 = m ⊦ (n ∈ istore → lpf = LP_INDEX_NODES) ∧ (n ∈ istore → abs-leb(avol[n], indexblock(indx, lax, m), mklp(m, m1, lpf, m2)) ∧ m0 = m)

Rule argument

fma: n < # lpt

Additional information

Used simplifier rules: ⊦ ¬ n ∈ istore → istore[n] = (∅)[n]; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss) Used formulas: n < # lpt