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Proof step 178 from proof refine-rmdir (previous step)

asynced ↔ bv, dirs[entries[str]] = mkdir(0, md0, # links(entries[str], dirs), m2, ∅), dirs[ino1] = mkdir(# entries, md, # links(ino1, dirs), m1, entries), root[q + str '] = dnode(md1, ∅), err = ESUCCESS, err = err0, err2 = ESUCCESS, fs = abs-files(files), 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), pw(user, md), px(user, md), px-parent(user, q, ROOT_INO, dirs, files), str ∈ entries, ino1 ∈ dirs, entries[str] ∈ dirs, psynced → asynced0, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, ⌊err0⌋ ∨ err0 = ESUCCESS ⊦ [inode := (ino1 ∈ dirs ⊃ mkinode(ino1, md, true, # links(ino1, dirs), m1, # entries) ;mkinode(ino1, files[ino1].meta, false, files[ino1].nlink, 0, files[ino1].size) ); dent := mkdentry(str, dirs[ino1].entries[str]); p_inode := getinode(mkdentry(str, entries[str]).ino, dirs, files); afs_rmdir#(; inode, p_inode, dent, err, dirs, files; asynced); vfs_put_inode#(p_inode, of, asynced; err, dirs, files)] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_rmdir#(q + str ', user, fs, abs-of(of); err1, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err = err1))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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