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Proof step 32 from proof abs-gstore-cleanup-lpt (previous step)

# lpt = # avol1, # avol0 = # avol1, lpt[n] = mklp(m3, m1, LP_GROUP_NODES, m2), gstore[n] = groupblock(gndx0, lax0, m3), n < # avol1, n ∈ gstore, ¬ n ∈ ginval → abs-leb(avol0[n], groupblock(gndx0, lax0, m3), mklp(m3, m1, LP_GROUP_NODES, m2)), ∀ n. n < # avol1 ∧ (lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n] ⊦ m3 = 0, abs-leb(avol1[n], groupblock(gndx0, lax0, m3), mklp(m3, m1, LP_GROUP_NODES, m2)), n ∈ dom remove-refsize0(gstore) ∧ n ∈ ginval

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
# lpt = # avol1, # avol0 = # avol1, lpt[n] = mklp(m3, m1, LP_GROUP_NODES, m2), gstore[n] = groupblock(gndx0, lax0, m3), n < # avol1, abs-leb(avol0[n], groupblock(gndx0, lax0, m3), mklp(m3, m1, LP_GROUP_NODES, m2)), n ∈ gstore, ∀ n. n < # avol1 ∧ (lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n] ⊦ m3 = 0, abs-leb(avol1[n], groupblock(gndx0, lax0, m3), mklp(m3, m1, LP_GROUP_NODES, m2)), n ∈ ginval

Rule argument

Additional information

Used simplifier rules: ⊦ groupblock(gndx, lax, m).ref-size = m; (s)% ⊦ n ∈ remove-refsize0(gstore) ↔ n ∈ gstore ∧ gstore[n].ref-size ≠ 0; (ws)% ⊦ n ∈ dom gstore ↔ n ∈ gstore; (s)