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Proof step 1 from proof fnode-elim-strong (conclusion)

⊦ tree.dir? ↔ ¬(∃ fid. tree = fnode(fid))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ ¬ fnode(fid).dir?
Proof step 3:
⊦ tree.dir?, ∃ fid. tree = fnode(fid)

Rule argument

Additional information

Used simplifier rules: isfnode: ⊦ ¬ fnode(fid).dir?;