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

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

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).entries:= sdt0 = dnode(md, sdt0)
Proof step 5:
⊦ dnode(md, sdt).meta = md

Rule argument

Additional information

Used simplifier rules: dnode-elim-strong: ⊦ tree.dir? ↔ (∃ md, sdt. tree = dnode(md, sdt));%setentries: ⊦ dnode(md, sdt).entries:= sdt0 = dnode(md, sdt0);%meta: ⊦ dnode(md, sdt).meta = md;