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Proof step 21 from proof inv-create (previous step)

root[parent(path)].dir?, root.dir?, fids-cons(root, fs, ofh), py(user, parent(path), root, fs), parent(path) ∈ root, ∃ fid. ¬ fid ∈ dom fs ⊦ path ∈ root, ∃ fid. ¬ fid ∈ fs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
root.dir?, root[parent(path)].dir?, fids-cons(root, fs, ofh), py(user, parent(path), root, fs), parent(path) ∈ root ⊦ path ∈ root, fid ∈ fs, ∃ fid. ¬ fid ∈ fs

Rule argument

Additional information

Used simplifier rules: ⊦ fid ∈ dom fs ↔ fid ∈ fs; (s)