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Proof step 210 from proof refine-writemeta (previous step)

root[path].dir? ↔ ino1 ∈ dirs, err = err1, err1 = ESUCCESS, ino = ino1, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(path, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, path, ROOT_INO, dirs, files), psynced → asynced ⊦ pre-iget(ino, dirs, files)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: path-in-end: ⊦ ispath(p, n, m, dirs, files) ∧ ¬ m ∈ files → m ∈ dirs; (forward) from specification afs-base% ⊦ valid-ino(ino, dirs, files) ↔ ino ∈ dirs ∨ ino ∈ files; (s)% ⊦ pre-iget(ino, dirs, files) ↔ valid-ino(ino, dirs, files); (s)