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Proof step 15 from proof inv-mkdir (previous step)

dent = negdentry((q + str ').last), afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(q, ROOT_INO, ino0, dirs, files) ∧ px-parent(user, q, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(q, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p' ⊑ q ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪if err = ESUCCESS then vfs_may_create#(ino0, dent, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_mkdir#(md; inode, c_inode, dent, err, dirs, files; asynced)⟫ (of-cons(of, dirs, files) ∧ afs-cons(dirs, files)), q + str ' = ε

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

pos: right 1

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