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Proof step 9 from proof inv-add1 (previous step)

gstore3 = gstore, jro1 = jro, nx1 = nx, remove-refsize0(gstore0) = gstore0, elems nx ∩ jro = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ jro, pmaxino ≠ 0, fi1.inos < pmaxino, fi2.inos < jmaxino1, p_os < pmaxino, inv(gstore0), inv(gstore \ jro), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range fi2), ri-inj(fi1), ri-inj(fi2), pmaxino ≤ jmaxino1, fi1.lebs ⊆ dom gstore0, fi2.lebs ⊆ dom gstore, ¬ dups(nx), jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro) ⊦ [gjournal_journal_addn#(nd ', jvalid1, fi2, fi1, gstore0, pmaxino, p_os; ax, jvalid4, jmaxino, jro, gstore, nx, jvalid; err)] ( (jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)) ∧ fi2.lebs ⊆ dom gstore ∧ refsize-cons(gstore, range fi2) ∧ inv(gstore \ jro) ∧ elems nx ∩ jro = ∅ ∧ ¬ dups(nx) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ jro ∧ (err = ESUCCESS ∨ ⌊err⌋ ) ∧ dom gstore3 ⊆ dom gstore ∧ (nx.toSet \ nx1.toSet) ∩ dom gstore3 = ∅ ∧ ( err = ESUCCESS → # ax = 1 ∧ ¬ dups(ax) ∧ nodes-cons(ax, nd ', gstore, jro) ∧ abs-log(nx, gstore ↓) = abs-log(nx1, gstore3 ↓) + ax ∧ nodes(gstore ↓, jro) = nodes(gstore3 ↓, jro1)[ax, nd '] ∧ new(ax, nodes(gstore3 ↓, jro1))) ∧ (err ≠ ESUCCESS → abs-log(nx, gstore ↓) = abs-log(nx1, gstore3 ↓) ∧ nodes(gstore ↓, jro) = nodes(gstore3 ↓, jro1)) → ⟪if err = ESUCCESS then adr := ax[0]⟫ (jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro)))

User applied rule skip call

And obtained the following new goals

Rule argument

pos: right 1

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