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Proof step 10 from proof inv-readmeta (previous step)

err = ESUCCESS, err0 = err1, fid = root[path].fid, m = m1, m0 = m2, root.dir?, fids-cons(root, fs, ofh), pre-readmeta(path, err, user, root, fs, ofh) ⊦ root[path].dir?, fid ∈ fs ∧ fid ∈ fs

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
root.dir?, fids-cons(root, fs, ofh), pr(user, path, root, fs), path ∈ root ⊦ root[path].dir?, root[path].fid ∈ fs

Rule argument

Additional information

Used simplifier rules: ⊦ pre-readmeta(p, ESUCCESS, user, root, fs, ofh) ↔ p ∈ root ∧ pr(user, p, root, fs); (s)