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Proof step 16 from proof inv-readdir (previous step)

err = ESUCCESS, afs-cons(dirs, files), ispath(p0, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, p0, ROOT_INO, dirs, files) ⊦ ⟪vfs_may_open#(ino0, true, MODE_R, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)⟫ true

User applied rule call right

And obtained the following new goals

Proof step 17:
⊦
Proof step 18:
isdir ↔ true, err = ESUCCESS, ino = ino0, mode = MODE_R, afs-cons(dirs, files), ispath(p0, ROOT_INO, ino0, dirs, files), of-cons(of, dirs, files), px-parent(user, p0, 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_readdir#(inode, dirs, files, asynced; strings, err)⟫ true

Rule argument

pos: right 1

Additional information

Used simplifier rules: may-open: ⊦ ;