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Proof step 52 from proof abs-gstore-lpt-change-other (previous step)

lpt[n, mklp(m, m0, lpf0, m1)][n] = mklp(m6, m7, lpf2, m8), lpt[n] = mklp(n0, n1, lpf, n2), gstore[n] = groupblock(gndx, lax, m2), n ∈ gstore, ∀ 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, n < # lpt, n < # lpt ∧ lpf2 = LP_GROUP_NODES ∧ (¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m2), mklp(m2, n1, lpf, n2))) ∧ n0 = m2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 53:
gstore[n] = groupblock(gndx, lax, m2), lpt[n] = mklp(n0, n1, lpf, n2), lpt[n, mklp(m, m0, lpf0, m1)][n] = mklp(m6, m7, lpf2, m8), n ∈ gstore, # lpt ≤ 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

Rule argument

Additional information

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