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Proof step 66 from proof inv-fsync (previous step)

⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err)⟩ (ino1 = ino0 ∧ err = ESUCCESS), err = ESUCCESS, ino1 = 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), ino0 ∈ dirs ∨ ino0 ∈ files ⊦ ⟪fail#(; ; err); if err = ESUCCESS then if inode.directory then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if ¬ pr(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

Heuristic unfold applied rule call right

And obtained the following new goals

Proof step 67:
⟨vfs_walk#(p, user, dirs, files, asynced; ino1, err)⟩ (ino1 = ino0 ∧ err = ESUCCESS), err = ESUCCESS, ino1 = 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), ino0 ∈ dirs ∨ ino0 ∈ files ⊦ ⟪choose err0 with ⌊err0⌋ in err := err0; if err = ESUCCESS then if inode.directory then err := (inode.directory ⊃ EISDIR;ENOTDIR) else if ¬ pr(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: fail#(; ; ERR){choose ERR0 with ⌊ERR0⌋ in ERR := ERR0};