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Proof step 18 from proof inv-rmdir (previous step)

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_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))

User applied rule call right

And obtained the following new goals

Proof step 19:
⊦
Proof step 20:
isdir0 ↔ isdir, dent = negdentry(str), err = ESUCCESS, ino = ino1, 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) ⊦ ⟪let isdir = isdir0, isrename = false in {vfs_may_delete#(ino, isrename, user, dirs, files, asynced; inode, dent, p_inode, isdir0, err); if isdir ∧ ¬ isdir0 then err := ENOTDIR; if ¬ isdir ∧ isdir0 then err := EISDIR}; if err = ESUCCESS then afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then {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))

Rule argument

pos: right 1

Additional information

Used simplifier rules: may-delete-check: ⊦ ;