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Proof step 9 from proof crash-neutral-contains (previous step)

remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval1 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval1, inv(gstore2 \ ginval1), inv(gstore1), ri-inj(fi2), ri-inj(fi1) ⊦ (⌊EIO⌋ ∨ EIO = ESUCCESS) ∧ ⟨err := EIO; if err = ESUCCESS then syn := key ∈ fi2 else syn := ?⟩ true, dups(nx)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
remove-refsize0(gstore1) = gstore1, elems nx ∩ ginval1 = ∅, dom gstore1 ∪ elems nx = dom gstore2 ∪ ginval1, inv(gstore1), inv(gstore2 \ ginval1), ri-inj(fi1), ri-inj(fi2), ¬ dups(nx) ⊦ ⟨err := EIO; if err = ESUCCESS then syn := key ∈ fi2 else syn := ?⟩ true

Rule argument

Additional information

Used simplifier rules: ⊦ ⌊EIO⌋ ; (s)