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Proof step 17 from proof inv-unlink (previous step)

isdir ↔ false, dent = negdentry((q + str ').last), err = ESUCCESS, dom of < ino0, afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(q, ROOT_INO, ino1, 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) ⊦ ⟪vfs_may_delete_check#(ino1, user, dirs, files, asynced; inode, isdir, dent, p_inode, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {afs_unlink#(; 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)), q + str ' = ε

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
dent = negdentry(str), err = ESUCCESS, ¬ isdir, dom of < ino0, afs-cons(dirs, files), ispath(q, ROOT_INO, ino1, dirs, files), of-cons(of, dirs, files), px-parent(user, q, ROOT_INO, dirs, files) ⊦ ⟪vfs_may_delete_check#(ino1, user, dirs, files, asynced; inode, isdir, dent, p_inode, err); if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {afs_unlink#(; 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))

Rule argument

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ EACCESS; (s)% ⊦ ESUCCESS ≠ ENOENT; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)% ⊦ p + str ' ≠ ε; (s)%a: ⊦ (p + p0) + p1 = p + p0 + p1; from specification list[path]% ⊦ (p + str ').last = str; (s)