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Proof step 7 from proof abs-gstore-cleanup-lpt (previous step)

# lpt = # avol1, # avol0 = # avol1, lpt.map(λ lp. (lp.ref-size = 0 ∧ lp.flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lp.gcheapidx);lp))[n] = mklp(m0, m1, lpf, m2), remove-refsize0(gstore)[n] = groupblock(gndx, lax, m), dom remove-refsize0(gstore) ∩ ginval = ∅, ∀ n. n < # avol1 ∧ (lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], ∀ n. (n < # avol1 ∧ lpt[n].flags = LP_GROUP_NODES ↔ n ∈ gstore) ∧ (n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol0[n], gstore[n], lpt[n])) ∧ (n ∈ gstore → lpt[n].ref-size = gstore[n].ref-size), ¬(n < # avol1 ∧ lpf = LP_GROUP_NODES ↔ n ∈ remove-refsize0(gstore)) ∨ ¬(n ∈ remove-refsize0(gstore) → abs-leb(avol1[n], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∨ ¬(n ∈ remove-refsize0(gstore) → m0 = m) ⊦

User applied rule all left

And obtained the following new goals

Proof step 8:
# avol0 = # avol1, # lpt = # avol1, n < # avol1 ∧ lpt[n].flags = LP_GROUP_NODES ↔ n ∈ gstore, remove-refsize0(gstore)[n] = groupblock(gndx, lax, m), lpt.map(λ lp. (lp.ref-size = 0 ∧ lp.flags ≠ LP_FREE ⊃ mklp(0, 0, LP_FREE, lp.gcheapidx);lp))[n] = mklp(m0, m1, lpf, m2), dom remove-refsize0(gstore) ∩ ginval = ∅, n ∈ gstore ∧ ¬ n ∈ ginval → abs-leb(avol0[n], gstore[n], lpt[n]), n ∈ gstore → lpt[n].ref-size = gstore[n].ref-size, ∀ n. n < # avol1 ∧ (lpt[n].ref-size ≠ 0 ∨ lpt[n].flags = LP_FREE) → avol0[n] = avol1[n], ¬(n < # avol1 ∧ lpf = LP_GROUP_NODES ↔ n ∈ remove-refsize0(gstore)) ∨ ¬(n ∈ remove-refsize0(gstore) → abs-leb(avol1[n], groupblock(gndx, lax, m), mklp(m0, m1, lpf, m2))) ∨ ¬(n ∈ remove-refsize0(gstore) → m0 = m) ⊦

Rule argument

pos: left 7 terms: n abort: F discard: T computed: T

Additional information

Used terms: n