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Proof step 1 from proof subdirs-delete-orphans (conclusion)

⊦ ¬ ino ∈ orphans(dirs, files) → subdirs(ino, dirs \ orphans(dirs, files)) = subdirs(ino, dirs)

System applied rule normalize

And obtained the following new goals

Proof step 2:
⊦ subdirs(ino, dirs \ orphans(dirs, files)) = subdirs(ino, dirs), ino ∈ orphans(dirs, files)

Rule argument

Additional information