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Proof step 11 from proof inv-add1 (previous step)

remove-refsize0(gstore0) = gstore0, elems nx0 ∩ jro0 = ∅, (nx0.toSet \ nx.toSet) ∩ dom gstore = ∅, elems nx ∩ jro = ∅, dom gstore0 ∪ elems nx0 = dom gstore1 ∪ jro0, dom gstore0 ∪ elems nx = dom gstore ∪ jro, pmaxino ≠ 0, fi1.inos < pmaxino, fi2.inos < jmaxino1, p_os < pmaxino, inv(gstore1 \ jro0), inv(gstore0), inv(gstore \ jro), refsize-cons(gstore1, range fi2), refsize-cons(gstore0, range fi1), refsize-cons(gstore, range fi2), ri-inj(fi1), ri-inj(fi2), pmaxino ≤ jmaxino1, dom gstore ⊆ dom gstore1, fi1.lebs ⊆ dom gstore0, fi2.lebs ⊆ dom gstore, fi2.lebs ⊆ dom gstore1, ¬ dups(nx), ¬ dups(nx0), jvalid0 ∧ nx0 ≠ [] → valid-journal-head(nx0, gstore1, jro0), err = ESUCCESS → # ax = 1 ∧ ¬ dups(ax) ∧ nodes-cons(ax, nd ', gstore1, jro0) ∧ abs-log(nx0, gstore1 ↓) = abs-log(nx, gstore ↓) + ax ∧ nodes(gstore1 ↓, jro0) = nodes(gstore ↓, jro)[ax, nd '] ∧ new(ax, nodes(gstore ↓, jro)), err ≠ ESUCCESS → abs-log(nx0, gstore1 ↓) = abs-log(nx, gstore ↓) ∧ nodes(gstore1 ↓, jro0) = nodes(gstore ↓, jro), jvalid4 ∧ nx ≠ [] → valid-journal-head(nx, gstore, jro), err = ESUCCESS ∨ ⌊err⌋ ⊦ ⟪if err = ESUCCESS then adr := ax[0]⟫ (jvalid0 ∧ nx0 ≠ [] → valid-journal-head(nx0, gstore1, jro0))

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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