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Proof step 177 from proof inv-addn (previous step)

# lax = # gndx, # lax0 = # gndx0, gndx.last = mkgnode(nd, m, boolvar, false), gstore3[nx0.last] = groupblock(gndx0, lax0, m0), abs-log(nx0, gstore3 ↓) = abs-log(nx1, gstore2 ↓), nodes(gstore3 ↓, jro0) = nodes(gstore2 ↓, jro1), remove-refsize0(gstore0) = gstore0, elems nx0 ∩ jro0 = ∅, (nx0.toSet \ nx1.toSet) ∩ dom gstore2 = ∅, elems nx1 ∩ jro1 = ∅, dom gstore0 ∪ elems nx0 = dom gstore3 ∪ jro0, dom gstore0 ∪ elems nx1 = dom gstore2 ∪ jro1, fi1.inos < pmaxino, fi2.inos < jmaxino1, p_os < pmaxino, inv(gstore3 \ jro0), inv(gstore2 \ jro1), inv(gstore0), inv(groupblock(gndx0 + gndx, lax0 + lax, m0)), inv(groupblock(gndx0, lax0, m0)), inv-flashsize(gndx, lax), refsize-cons(gstore3, range fi2), refsize-cons(gstore0, range fi1), refsize-cons(gstore2, range fi2), refsize-cons(gstore3[nx0.last, groupblock(gndx0 + gndx, lax0 + lax, m0)], range fi2), ri-inj(fi1), ri-inj(fi2), transaction(ndx, gndx), valid-journal-head(nx0, gstore3, jro0), nx0.last ∈ gstore3, pmaxino ≤ jmaxino1, dom gstore2 ⊆ dom gstore3, fi1.lebs ⊆ dom gstore0, fi2.lebs ⊆ dom gstore2, fi2.lebs ⊆ dom gstore3, jvalid4 ∧ nx1 ≠ [] → valid-journal-head(nx1, gstore2, jro1) ⊦ gndx0 + gndx = [], gndx = [], nx0 = [], pmaxino = 0, dups(lax), dups(nx0), dups(nx1)

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: gjournal-base name: transaction seq: ⊦ transaction(ndx, gndx) ↔ # gndx = # ndx ∧ ( gndx = [] ∨ gndx.head.start ∧ gndx.last.end ∧ (∀ n. (0 < n ∧ n < # gndx → ¬ gndx[n].start) ∧ (n + 1 < # gndx → ¬ gndx[n].end))) ∧ (∀ n. n < # gndx → gndx[n].nd = ndx[n]) subst: [gndx, ndx] → [gndx, ndx] flags: <all paths>

Additional information

Used simplifier rules: ⊦ 0 < m ↔ m ≠ 0; (s)% ⊦ mkgnode(nd, m, boolvar, boolvar0).end ↔ boolvar0; (s) Used terms: gndx, ndx