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Proof step 2 from proof setmeta-elim (previous step)

tree.dir? ⊦ tree.meta:= md = dnode(md, tree.entries)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ tree.dir? ↔ (∃ md, sdt. tree = dnode(md, sdt))
Proof step 4:
⊦ dnode(md, sdt).meta:= md0 = dnode(md0, sdt)
Proof step 5:
⊦ dnode(md, sdt).entries = sdt

Rule argument

Additional information

Used simplifier rules: dnode-elim-strong: ⊦ tree.dir? ↔ (∃ md, sdt. tree = dnode(md, sdt));%setmeta: ⊦ dnode(md, sdt).meta:= md0 = dnode(md0, sdt);%entries: ⊦ dnode(md, sdt).entries = sdt;