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Proof step 14 from proof py-strong (previous step)

tree[q].dir? ↔ m ∈ dirs, abs(tree, ino)(dirs), afs-cons(dirs, files), fids-cons(tree, abs-files(files), ofh), ispath(q, ino, m, dirs, files), pw(user, meta(ε, m, dirs, files)), px(user, meta(ε, m, dirs, files)), px-parent(user, q, ino, dirs, files) ⊦ (pw(user, meta(q, ino, dirs, files)) ∧ px-parent(user, q, ino, dirs, files)) ∧ px(user, q, ino, dirs, files)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
tree[q].dir? ↔ m ∈ dirs, abs(tree, ino)(dirs), afs-cons(dirs, files), fids-cons(tree, abs-files(files), ofh), ispath(q, ino, m, dirs, files), pw(user, meta(ε, m, dirs, files)), px(user, meta(ε, m, dirs, files)), px-parent(user, q, ino, dirs, files) ⊦ px(user, q, ino, dirs, files)

Rule argument

Additional information

Used simplifier rules: ⊦ px(user, p, ino, dirs, files) → px-parent(user, p, ino, dirs, files); (s)%⊦ ispath(p, n, m, dirs, files) → meta(p, n, dirs, files) = meta(ε, m, dirs, files); (s)