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Proof step 160 from proof refine-link (previous step)

dirs[ino1] = mkdir(# entries0, md0, # links(ino1, dirs), m2, entries0), dent = negdentry((q0 + str0 ').last), inode = getinode(mkdentry(str, entries0[str]).ino, dirs, files), mkdentry(str, entries0[str]).dentry?, 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), str ∈ entries0, ino1 ∈ dirs, entries0[str] ∈ files, psynced → asynced, links(ino1, dirs) ≠ ∅ ∨ ino1 = ROOT_INO, ⌊err1⌋ ∨ err1 = ESUCCESS ∧ ispath(q0, ROOT_INO, ino2, dirs, files) ∧ px-parent(user, q0, ROOT_INO, dirs, files) ∨ err1 = ENOENT ∧ ¬ ispath(q0, ROOT_INO, dirs, files) ∨ err1 = EACCESS ∧ p' ⊑ q0 ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ [if err1 = ESUCCESS then vfs_may_create#(ino2, dent, user, dirs, files, asynced; inode, err1); new_inode := inode, new_dent := dent; if err1 = ESUCCESS then afs_check_commit#(dirs, files; err1; asynced); fs := abs-files(files); if err1 = ESUCCESS then {c_inode := getinode(mkdentry(str, entries0[str]).ino, dirs, files); afs_link#(mkdentry(str, entries0[str]); new_inode, c_inode, new_dent, err1, dirs, files; asynced)}] ( of-cons(of, dirs, files) ∧ afs-cons(dirs, files) → ⟨posix_link#(q + str ', q0 + str0 ', user, fs, abs-of(of); err0, root; psynced)⟩ (fs = abs-files(files) ∧ abs(root, ROOT_INO)(dirs) ∧ (psynced → asynced) ∧ err1 = err0)), q0 + str0 ' = ε, root[q + str '].dir?, entries0[str] ∈ dirs

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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