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Proof step 543 from proof refine-link (previous step)

entries0[str] ∈ dirs ↔ root[q + str '].dir?, dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), path' ≠ ε, 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, ⌊err1⌋ , psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, entries0[str] ∈ dirs ∨ entries0[str] ∈ files ⊦ ⟨err0 := err1; if err0 = ESUCCESS then let fid = root[q + str '].fid in root[path'] := fnode(fid); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 544:
entries0[str] ∈ dirs ↔ root[q + str '].dir?, dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), err0 = err1, root.dir?, root[q].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), str ∈ entries0, ino1 ∈ dirs, ⌊err1⌋ , psynced → asynced, entries0[str] ∈ dirs ∨ entries0[str] ∈ files, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO ⊦ ⟨if err0 = ESUCCESS then let fid = root[q + str '].fid in root[path'] := fnode(fid); psynced := ?⟩ (abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0), path' = ε

Proof step 543 from proof refine-link (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information