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Proof step 57 from proof abs-gstore-lpt-change-other (previous step)

gstore[n3] = groupblock(gndx, lax, m2), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n3] = mklp(m3, m4, lpf1, m5), n3 < # lpt, ∀ n. (n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], gstore[n], lpt[n])) ∧ (n ∈ gstore → lpt[n].ref-size = gstore[n].ref-size) ⊦ lpf = LP_GROUP_NODES, lpf0 = LP_GROUP_NODES, n3 = n, (lpf1 = LP_GROUP_NODES ↔ n3 ∈ gstore) ∧ (n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m2), mklp(m3, m4, lpf1, m5))) ∧ (n3 ∈ gstore → m3 = m2)

Heuristic cut applied rule cut formula

And obtained the following new goals

Proof step 58:
lpt[n3] = mklp(m3, m4, lpf1, m5), lpt[n] = mklp(n0, n1, lpf, n2), gstore[n3] = groupblock(gndx, lax, m2), lpf1 = LP_GROUP_NODES, n3 < # lpt, ∀ n. (n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], gstore[n], lpt[n])) ∧ (n ∈ gstore → lpt[n].ref-size = gstore[n].ref-size) ⊦ lpf = LP_GROUP_NODES, lpf0 = LP_GROUP_NODES, n3 = n, (lpf1 = LP_GROUP_NODES ↔ n3 ∈ gstore) ∧ (n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m2), mklp(m3, m4, lpf1, m5))) ∧ (n3 ∈ gstore → m3 = m2)
Proof step 72:
lpt[n3] = mklp(m3, m4, lpf1, m5), lpt[n] = mklp(n0, n1, lpf, n2), gstore[n3] = groupblock(gndx, lax, m2), n3 < # lpt, ∀ n. (n < # lpt ∧ lpt[n].flags = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], gstore[n], lpt[n])) ∧ (n ∈ gstore → lpt[n].ref-size = gstore[n].ref-size) ⊦ lpf = LP_GROUP_NODES, lpf0 = LP_GROUP_NODES, lpf1 = LP_GROUP_NODES, n3 = n, (lpf1 = LP_GROUP_NODES ↔ n3 ∈ gstore) ∧ (n3 ∈ gstore ∧ ¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m2), mklp(m3, m4, lpf1, m5))) ∧ (n3 ∈ gstore → m3 = m2)

Rule argument

fma: lpf1 = LP_GROUP_NODES

Additional information

Used formulas: lpf1 = LP_GROUP_NODES