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Proof step 46 from proof inv-recover (previous step)

remove-refsize0(gstore3) = gstore3, elems nx3 ∩ jro3 = ∅, dom gstore3 ∪ elems nx3 = dom gstore2 ∪ jro3, jro2 < jmaxino3, jro5 < jmaxino0, fi1.inos < jmaxino3, fi4.inos < jmaxino0, inv(gstore2 \ jro3), inv(gstore3), inv(crash(gstore2, gstore3, jro3, nx3)), refsize-cons(gstore2, range fi1), refsize-cons(gstore3, range fi4), ri-inj(fi1), ri-inj(fi4), jmaxino0 ≤ jmaxino3, fi1.lebs ⊆ dom gstore2, fi4.lebs ⊆ dom gstore3, jvalid0 ∧ nx3 ≠ [] → valid-journal-head(nx3, gstore2, jro3) ⊦ ∀ log, err. ⟪ks := jro5.keys⟫ (err = ESUCCESS → fi4.lebs ⊆ dom gstore2 ∪ jro3 ∧ dom gstore3 ∪ elems nx3 = (dom gstore2 ∪ jro3) ∪ jro3), jmaxino0 = 0, jmaxino3 = 0, dups(nx3)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 47:
remove-refsize0(gstore3) = gstore3, elems nx3 ∩ jro3 = ∅, dom gstore3 ∪ elems nx3 = dom gstore2 ∪ jro3, jmaxino0 ≠ 0, jmaxino3 ≠ 0, jro2 < jmaxino3, jro5 < jmaxino0, fi1.inos < jmaxino3, fi4.inos < jmaxino0, inv(gstore2 \ jro3), inv(gstore3), inv(crash(gstore2, gstore3, jro3, nx3)), refsize-cons(gstore2, range fi1), refsize-cons(gstore3, range fi4), ri-inj(fi1), ri-inj(fi4), jmaxino0 ≤ jmaxino3, fi1.lebs ⊆ dom gstore2, fi4.lebs ⊆ dom gstore3, ¬ dups(nx3), jvalid0 ∧ nx3 ≠ [] → valid-journal-head(nx3, gstore2, jro3) ⊦ ⟪ks := jro5.keys⟫ (err = ESUCCESS → fi4.lebs ⊆ dom gstore2 ∪ jro3)

Rule argument

Additional information

Used simplifier rules: unc: ⊦ ns ∪ ns0 = ns0 ∪ ns; from specification set-union[nat-set]%una: ⊦ (ns ∪ ns0) ∪ ns1 = ns ∪ ns0 ∪ ns1; from specification set-union[nat-set]% ⊦ ns ⊆ ns ∪ ns0; (s)% ⊦ ns ∪ ns0 = ns0 ↔ ns ⊆ ns0; (s)