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

n < # lpt ↔ n ∈ gstore, lpt[n] = mklp(m3, m4, LP_GROUP_NODES, m5), gstore[n] = groupblock(gndx, lax, m), lpt[n, mklp(m3, LEB_SIZE, LP_GROUP_NODES, m5)][n] = mklp(m0, m1, lpf, m2), n < # avol, n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m), mklp(m3, m4, LP_GROUP_NODES, m5)), n ∈ gstore → m3 = m ⊦ (n ∈ gstore → lpf = LP_GROUP_NODES) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∧ (n ∈ gstore → m0 = m)

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 14:
n < # lpt ↔ n ∈ gstore, lpt[n, mklp(m3, LEB_SIZE, LP_GROUP_NODES, m5)][n] = mklp(m0, m1, lpf, m2), gstore[n] = groupblock(gndx, lax, m), lpt[n] = mklp(m3, m4, LP_GROUP_NODES, m5), n < # avol, n < # lpt, n ∈ gstore → m3 = m, n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m), mklp(m3, m4, LP_GROUP_NODES, m5)) ⊦ (n ∈ gstore → lpf = LP_GROUP_NODES) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∧ (n ∈ gstore → m0 = m)

Rule argument

fma: n < # lpt

Additional information

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