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Proof step 27 from proof abs-gstore-lpt-change-other (previous step)

lpt[n3] = mklp(m3, m4, LP_GROUP_NODES, m5), lpt[n] = mklp(n0, n1, lpf, n2), (∅)[n3] = groupblock(gndx, lax, m2), n3 < # lpt, ∀ n3. (n3 < # lpt ∧ lpt[n, mklp(m, m0, lpf0, m1)][n3].flags = LP_GROUP_NODES ↔ n3 ∈ gstore) ∧ (n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], gstore[n3], lpt[n3])) ∧ (n3 ∈ gstore → lpt[n3].ref-size = gstore[n3].ref-size) ⊦ lpf = LP_GROUP_NODES, lpf0 = LP_GROUP_NODES, n3 ∈ gstore

Heuristic quantifier applied rule all left

And obtained the following new goals

Proof step 28:
n3 < # lpt ∧ lpt[n, mklp(m, m0, lpf0, m1)][n3].flags = LP_GROUP_NODES ↔ n3 ∈ gstore, (∅)[n3] = groupblock(gndx, lax, m2), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n3] = mklp(m3, m4, LP_GROUP_NODES, m5), n3 < # lpt, n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], gstore[n3], lpt[n3]), n3 ∈ gstore → lpt[n3].ref-size = gstore[n3].ref-size, ∀ n3. (n3 < # lpt ∧ lpt[n, mklp(m, m0, lpf0, m1)][n3].flags = LP_GROUP_NODES ↔ n3 ∈ gstore) ∧ (n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], gstore[n3], lpt[n3])) ∧ (n3 ∈ gstore → lpt[n3].ref-size = gstore[n3].ref-size) ⊦ lpf = LP_GROUP_NODES, lpf0 = LP_GROUP_NODES, n3 ∈ gstore

Rule argument

pos: left 5 terms: n3

Additional information

Used terms: n3