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Proof step 30 from proof abs-gstore-avol-change-other (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
lpt[n3] = mklp(m0, m1, lpf0, m2), gstore[n3] = groupblock(gndx, lax, m), lpt[n] = mklp(n0, n1, lpf, n2), n3 ∈ gstore, # lpt ≤ n3, ∀ n0. (n0 < # lpt ∧ lpt[n0].flags = LP_GROUP_NODES ↔ n0 ∈ gstore) ∧ (n0 ∈ gstore ∧ ¬ n0 ∈ ginval → abs-leb(avol[n, aleb][n0], gstore[n0], lpt[n0])) ∧ (n0 ∈ gstore → lpt[n0].ref-size = gstore[n0].ref-size) ⊦ lpf = LP_GROUP_NODES

Rule argument

Additional information

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