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Proof step 70 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), 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, n3 = n, n3 ∈ gstore, n3 ∈ gstore ∧ (¬ n3 ∈ ginval → abs-leb(avol[n3], groupblock(gndx, lax, m2), mklp(m2, m4, LP_GROUP_NODES, m5))) ∧ m3 = m2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 71:
lpt[n] = mklp(n0, n1, lpf, n2), lpt[n3] = mklp(m3, m4, LP_GROUP_NODES, m5), (∅)[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, n3 = n, n3 ∈ gstore

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ n ∈ gstore → gstore[n] = (∅)[n]; (s)