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Proof step 14 from proof inv-fsync (previous step)

⟨vfs_walk#(p, user, dirs, files, asynced; ino, err)⟩ (ino = ino0 ∧ err = ESUCCESS), err = ESUCCESS, ino = ROOT_INO, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, p, ROOT_INO, dirs, files) ⊦ ⟪vfs_may_open#(ino0, false, MODE_R, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_fsync#(inode, isdir0, dirs, files; ; asynced, err); if err = ESUCCESS then afs_sync#(dirs, files; ; asynced, err)⟫ true

User applied rule call right

And obtained the following new goals

Proof step 15:
⊦
Proof step 16:
⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err)⟩ (ino1 = ino0 ∧ err = ESUCCESS), isdir ↔ false, err = ESUCCESS, ino = ino0, ino1 = ROOT_INO, mode = MODE_R, afs-cons(dirs, files), ispath(p, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, p, ROOT_INO, dirs, files) ⊦ ⟪afs_iget#(ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if ¬(inode.directory ↔ isdir) then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if (mode = MODE_R ∨ mode = MODE_RW) ∧ ¬ pr(user, inode.meta) ∨ (mode = MODE_W ∨ mode = MODE_RW) ∧ ¬ pw(user, inode.meta) then err := EACCESS; if err = ESUCCESS then afs_fsync#(inode, isdir0, dirs, files; ; asynced, err); if err = ESUCCESS then afs_sync#(dirs, files; ; asynced, err)⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: may-open: ⊦ ;