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Proof step 61 from proof inv-gc (previous step)

# lax = # gndx0, gstore2[n1] = groupblock(gndx0, lax, m0), remove-refsize0(gstore1) = gstore1, elems nx ∩ jro0 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro0, jro1 < jmaxino, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, dups(nodes(gstore2 ↓, jro0)[referenced-adrs(lax.to-adr(n1), fi2)].keys), inv(gstore2 \ jro0), inv(gstore1), inv(groupblock(gndx0, lax, m0)), refsize-cons(gstore2, range fi2), refsize-cons(gstore1, range fi1), ri-cons(fi2, nodes(gstore2 ↓, jro0)), ri-inj(fi2), ri-inj(fi1), n1 ∈ gstore2, n1 ∈ gstore1, pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro0) ⊦ jmaxino = 0, m0 = 0, pmaxino = 0, dups(nx), n1 ∈ jro0, n1 ∈ nx

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: gjournal-base name: referenced-adrs-lookup-keys-nodups seq: ⊦ ri-cons(ri, fs) ∧ ¬ dups(ax) → ¬ dups(fs[referenced-adrs(ax, ri)].keys) subst: [ri, ax, fs] → [fi2, lax.to-adr(n1), nodes(gstore2 ↓, jro0)] flags: <all paths>

Additional information

Used simplifier rules: ⊦ dups(lax.to-adr(n)) ↔ dups(lax); (s)% ⊦ inv(groupblock(gndx, lax, m0)) → ¬ dups(lax); (s) Used terms: fi2, lax.to-adr(n1), nodes(gstore2 ↓, jro0)