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Proof step 8 from proof pw (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
tree[p].dir? ↔ m ∈ dirs, meta(p, tree, abs-files(files)) = meta(ε, m, dirs, files), abs(tree, ino)(dirs), afs-cons(dirs, files), fids-cons(tree, abs-files(files), ofh), ispath(p, ino, m, dirs, files), px-parent(user, p, ino, dirs, files) ⊦ pw(user, p, tree, abs-files(files)) ↔ pw(user, meta(ε, m, dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ ispath(p, n, m, dirs, files) → meta(p, n, dirs, files) = meta(ε, m, dirs, files); (s)