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Proof step 5 from proof py (previous step)

tree[p].dir? ↔ m ∈ dirs, abs(tree, ino)(dirs), afs-cons(dirs, files), fids-cons(tree, abs-files(files), ofh), ispath(p, ino, m, dirs, files) ⊦ py(user, p, tree, abs-files(files)) ↔ py(user, p, ino, dirs, files)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ py(user, p, tree, fs) ↔ pw(user, p, tree, fs) ∧ px(user, p, tree, fs)
Proof step 7:
tree[p].dir? ↔ m ∈ dirs, abs(tree, ino)(dirs), afs-cons(dirs, files), fids-cons(tree, abs-files(files), ofh), ispath(p, ino, m, dirs, files) ⊦ pw(user, p, tree, abs-files(files)) ∧ px(user, p, tree, abs-files(files)) ↔ py(user, p, ino, dirs, files)

Rule argument

spec: path-permission, inst: posix-permission name: py seq: ⊦ py(user, p, tree, fs) ↔ pw(user, p, tree, fs) ∧ px(user, p, tree, fs) subst: [fs, tree, p, user] → [abs-files(files), tree, p, user] flags: <all paths>

Additional information

Used terms: abs-files(files), tree, p, user