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Proof step 35 from proof id-idx-abs-gstore (previous step)

# lpt1 = # lpt0, n < # lpt0 ∧ lpf0 = LP_GROUP_NODES ↔ n ∈ gstore, lpt1[n] = mklp(m0, m1, lpf, m2), gstore[n] = groupblock(gndx, lax, m), lpt0[n] = mklp(m3, m4, lpf0, m5), n ∈ gstore → m3 = m, n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m), mklp(m3, m4, lpf0, m5)), n < # lpt0 → lpt0[n].ref-size = lpt1[n].ref-size ∧ lpt0[n].size = lpt1[n].size ∧ lpt0[n].flags = lpt1[n].flags ⊦ (n < # lpt0 ∧ lpf = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∧ (n ∈ gstore → m0 = m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 36:
# lpt1 = # lpt0, n < # lpt0 ∧ lpf0 = LP_GROUP_NODES ↔ n ∈ gstore, lpt1[n] = mklp(m0, m1, lpf, m2), gstore[n] = groupblock(gndx, lax, m), lpt0[n] = mklp(m3, m4, lpf0, m5), n ∈ gstore → m3 = m, n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m), mklp(m3, m4, lpf0, m5)), n < # lpt0 → m3 = m0 ∧ m4 = m1 ∧ lpf0 = lpf ⊦ (n < # lpt0 ∧ lpf = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol[n], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∧ (n ∈ gstore → m0 = m)

Rule argument

Additional information

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