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Proof step 24 from proof abs-gstore-cleanup-lpt (previous step)

# lpt = # avol1, # avol0 = # avol1, remove-refsize0(gstore)[n] = groupblock(gndx, lax, m), gstore[n] = groupblock(gndx0, lax0, m3), lpt[n] = mklp(m3, m1, LP_GROUP_NODES, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, n < # avol1, n ∈ gstore, n ∈ remove-refsize0(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], ¬(n ∈ remove-refsize0(gstore) → abs-leb(avol1[n], groupblock(gndx, lax, m), mklp(m3, m1, LP_GROUP_NODES, m2))) ∨ ¬(n ∈ remove-refsize0(gstore) → m3 = m) ⊦ m3 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
# avol0 = # avol1, # lpt = # avol1, gstore[n] = groupblock(gndx0, lax0, m3), lpt[n] = mklp(m3, m1, LP_GROUP_NODES, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, 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))

Rule argument

Additional information

Used simplifier rules: ⊦ groupblock(gndx, lax, m).ref-size = m; (s)%⊦ groupblock(gndx, lax, m) = groupblock(gndx0, lax0, m0) ↔ gndx = gndx0 ∧ lax = lax0 ∧ m = m0; (ws)%⊦ n ∈ gstore ∧ gstore[n].ref-size ≠ 0 → remove-refsize0(gstore)[n] = gstore[n]; (s)% ⊦ n ∈ remove-refsize0(gstore) ↔ n ∈ gstore ∧ gstore[n].ref-size ≠ 0; (ws)