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Proof step 24 from proof abs-gstore-avol-change-other (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
lpt[n] = mklp(n0, n1, lpf, n2), gstore[n3] = groupblock(gndx, lax, m), lpt[n3] = mklp(m, m1, LP_GROUP_NODES, m2), n3 < # lpt, abs-leb(avol[n, aleb][n3], groupblock(gndx, lax, m), mklp(m, m1, LP_GROUP_NODES, m2)), n3 ∈ gstore, ∀ 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, abs-leb(avol[n3], groupblock(gndx, lax, m), mklp(m, m1, LP_GROUP_NODES, m2)), n3 ∈ ginval

Rule argument

Additional information

Used simplifier rules: ⊦ mklp(n2, n3, lpf, m).flags = lpf; (s)% ⊦ groupblock(gndx, lax, m).ref-size = m; (s)% ⊦ mklp(n2, n3, lpf, m).ref-size = n2; (s)