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Proof step 5 from proof fid-file (previous step)

abs(tree, ino)(dirs), ⌜n⌝ ∈ tree.fids, ∀ fid. fid ∈ abs-files(files) ↔ fid ∈ tree.fids ∨ fid ∈ ofh.fids ⊦ n ∈ files

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 3 terms: ⌜n⌝

Additional information

Used simplifier rules: ⊦ ⌜ino⌝ ∈ abs-files(files) ↔ ino ∈ files; (s) Used terms: ⌜n⌝