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Proof step 2 from proof crash-neutral-commit (previous step)

fi1 = fi0, ginval0 = ginval, ginval1 = ginval2, gstore1 = crash(gstore, gstore0, ginval, nx), gstore2 = gstore0, maxino = maxino0, nx0 = nx, syn, dom remove-refsize0(gstore) ∩ ginval = ∅, inv-journal(nx, gstore, gstore0, ginval), ri-inj(fi0), ri-inj(fi) ⊦ ⟨index_commit#(maxino1, fi, syn; ginval3, ginval, gstore, fi0, gstore0, nx, maxino0, ginval2; err)⟩ ( syn ∧ ginval0 = ginval ∧ gstore1 = crash(gstore, gstore0, ginval, nx) ∧ gstore2 = gstore0 ∧ nx0 = nx ∧ maxino = maxino0 ∧ ginval1 = ginval2 ∧ fi1 = fi0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
fi1 = fi0, ginval0 = ginval, ginval1 = ginval2, gstore1 = crash(gstore, gstore0, ginval, nx), gstore2 = gstore0, maxino = maxino0, nx0 = nx, remove-refsize0(gstore0) = gstore0, dom remove-refsize0(gstore) ∩ ginval = ∅, elems nx ∩ ginval = ∅, dom gstore0 ∪ elems nx = dom gstore ∪ ginval, inv(gstore \ ginval), inv(gstore0), ri-inj(fi), ri-inj(fi0), ¬ dups(nx) ⊦ ⟨index_commit#(maxino1, fi, true; ginval3, ginval, gstore, fi0, gstore0, nx, maxino0, ginval2; err)⟩ ( ginval0 = ginval ∧ gstore1 = crash(gstore, gstore0, ginval, nx) ∧ gstore2 = gstore0 ∧ nx0 = nx ∧ maxino = maxino0 ∧ ginval1 = ginval2 ∧ fi1 = fi0)

Rule argument

Additional information

Used simplifier rules: ⊦ inv-journal(nx, gstore, gstore0, ginval) ↔ inv(gstore \ ginval) ∧ inv(gstore0) ∧ elems nx ∩ ginval = ∅ ∧ ¬ dups(nx) ∧ dom gstore0 ∪ elems nx = dom gstore ∪ ginval ∧ remove-refsize0(gstore0) = gstore0; (s)