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Proof step 7 from proof inv-readmeta (previous step)

ino = ROOT_INO, afs-cons(dirs, files), of-cons(of, dirs, files) ⊦ ⟪vfs_walk#(p, user, dirs, files, asynced; ino, err); if err = ESUCCESS then choose inode with true in {afs_iget#(ino, dirs, files, asynced; inode, err); if err = ESUCCESS then if pr(user, inode.meta) then {md := inode.meta, ino0 := inode.size; if inode.directory then ino1 := inode.nsubdirs + 2 else ino1 := inode.nlink} else err := EACCESS}⟫ true

User applied rule insert program lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: walk-prepost seq: ino = ROOT_INO, afs-cons(dirs, files) ⊦ ⟪vfs_walk#(p, user, dirs, files, asynced; ino, err)⟫ ( ⌊err⌋ ∨ err = ESUCCESS ∧ ispath(p, ROOT_INO, ino, dirs, files) ∧ px-parent(user, p, ROOT_INO, dirs, files) ∨ err = ENOENT ∧ ¬ ispath(p, ROOT_INO, dirs, files) ∨ err = EACCESS ∧ p ≠ ε ∧ (∃ p'. p' ⊑ parent(p) ∧ ispath(p', ROOT_INO, dirs, files) ∧ ¬ px(user, p', ROOT_INO, dirs, files))) subst: [asynced, files, dirs, user, p, err, ino] → [asynced, files, dirs, user, p, err, ino] flags: <all paths>

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