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Proof step 537 from proof refine-link (previous step)

entries0[str] ∈ dirs ↔ root[q + str '].dir?, dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), c_inode = inode, err = err0, err1 = err, fs = abs-files(files), inode = mkinode(ino1, md0, true, # links(ino1, dirs), m2, # entries0), root[q].dir?, root.dir?, dom of < ino0, abs(root, ROOT_INO)(dirs), afs-cons(dirs, files), fids-cons(root, abs-files(files), abs-of(of)), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px(user, md0), px-parent(user, q, ROOT_INO, dirs, files), ino1 ∈ dirs, str ∈ entries0, ⌊err0⌋ , psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, entries0[str] ∈ dirs ∨ entries0[str] ∈ files ⊦ ⟨posix_link#(q + str ', path', user, fs, abs-of(of); err2, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err2), path' = ε

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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