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Proof step 45 from proof abs-gstore-lpt-change-other (previous step)

lpt[n] = mklp(n0, n1, lpf, n2), gstore[n3] = groupblock(gndx, lax, m2), lpt[n3] = mklp(m3, m4, lpf1, m5), lpt[n, mklp(m, m0, lpf0, m1)][n3] = mklp(m6, m7, lpf2, m8), ∀ 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 < # lpt ∧ lpf2 = 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 46:
lpt[n, mklp(m, m0, lpf0, m1)][n3] = mklp(m6, m7, lpf2, m8), lpt[n3] = mklp(m3, m4, lpf1, m5), gstore[n3] = groupblock(gndx, lax, m2), lpt[n] = mklp(n0, n1, lpf, n2), n3 = n, ∀ 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 < # lpt ∧ lpf2 = 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 54:
lpt[n, mklp(m, m0, lpf0, m1)][n3] = mklp(m6, m7, lpf2, m8), lpt[n3] = mklp(m3, m4, lpf1, m5), gstore[n3] = groupblock(gndx, lax, m2), lpt[n] = mklp(n0, n1, lpf, n2), ∀ 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, (n3 < # lpt ∧ lpf2 = 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: n3 = n

Additional information

Used formulas: n3 = n