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Proof step 37 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), ∀ 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 < # lpt, (n3 < # lpt ∧ 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 simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
lpt[n3] = mklp(m3, m4, lpf1, m5), gstore[n3] = groupblock(gndx, lax, m2), lpt[n] = mklp(n0, n1, lpf, n2), n3 ∈ gstore, # lpt ≤ n3, ∀ 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

Rule argument

Additional information

Used simplifier rules: ⊦ m ≤ n → (n < m ↔ false); (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)