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Proof step 29 from proof inv-lookup (previous step)

fi2[key] = @(m, m0, m1), err = err0, err = ESUCCESS, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro, fi1.inos < pmaxino, fi2.inos < jmaxino, p_os < pmaxino, inv(gstore1), inv(gstore2 \ jro), refsize-cons(gstore1, range fi1), refsize-cons(gstore2, range fi2), ri-cons(fi2, nodes(gstore2 ↓, jro)), ri-inj(fi1), ri-inj(fi2), m ∈ gstore2, key ∈ fi2, @(m, m0, m1) ∈ gstore2, pmaxino ≤ jmaxino, fi1.lebs ⊆ dom gstore1, fi2.lebs ⊆ dom gstore2, jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪if err = ESUCCESS then nd := gstore2[fi2[key]].nd⟫ true, pmaxino = 0, dups(nx), m ∈ jro

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 30:
fi2[key] = @(m, m0, m1), err = ESUCCESS, err = err0, remove-refsize0(gstore1) = gstore1, elems nx ∩ jro = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ jro, p_os < pmaxino, fi2.inos < jmaxino, fi1.inos < pmaxino, inv(gstore2 \ jro), inv(gstore1), refsize-cons(gstore2, range fi2), refsize-cons(gstore1, range fi1), ri-cons(fi2, nodes(gstore2 ↓, jro)), ri-inj(fi2), ri-inj(fi1), @(m, m0, m1) ∈ gstore2, key ∈ fi2, m ∈ gstore2, pmaxino ≤ jmaxino, fi2.lebs ⊆ dom gstore2, fi1.lebs ⊆ dom gstore1, jvalid2 ∧ nx ≠ [] → valid-journal-head(nx, gstore2, jro), ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ ⟪nd := gstore2[fi2[key]].nd⟫ true, pmaxino = 0, dups(nx), m ∈ jro

Rule argument

pos: right 1

Proof step 29 from proof inv-lookup (previous step)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Rule argument

Additional information