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Proof step 15 from proof inv-readdir (previous step)

isdir ↔ true, err = ESUCCESS, mode = MODE_R, afs-cons(dirs, files), of-cons(of, dirs, files), ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p0, ROOT_INO, ino0, dirs, files) ∧ px-parent(user, p0, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p0, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p0 ≠ ε ∧ p' ⊑ parent(p0) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files) ⊦ ⟪vfs_may_open#(ino0, isdir, mode, user, dirs, files, asynced; inode, err); if err = ESUCCESS then afs_readdir#(inode, dirs, files, asynced; strings, err)⟫ true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
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

Rule argument

Additional information

Used simplifier rules: ⊦ ESUCCESS ≠ EACCESS; (s)% ⊦ ESUCCESS ≠ ENOENT; (s)% ⊦ ¬ ⌊ESUCCESS⌋ ; (s)