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Proof step 9 from proof inv-commit (previous step)

ro.inodes?, fo.inodes?, log-cons(log, fs), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi) ⊦ ∃ as. as ∩ range ri = ∅

User applied rule exists right

And closed the goal!

Rule argument

pos: right 1 terms: ∅ abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ as ∩ ∅ = ∅; (s)%int-a: ⊦ (as ∩ as0) ∩ as1 = as ∩ as0 ∩ as1; from specification set-union[node-store]%int-c: ⊦ as ∩ as0 = as0 ∩ as; from specification set-union[node-store] Used terms: ∅