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Proof step 27 from proof plinksd+ (previous step)

p.head = str, p.tail ∈ links(fid, tree) ⊦ p = ε, p ∈ links(fid, dnode(md, sdt[str, tree])), str ∈ sdt

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
⊦ p ∈ links(fid, tree) ↔ p ∈ tree ∧ tree[p] = fnode(fid)
Proof step 29:
tree[p.tail] = fnode(fid), p.tail ∈ tree ⊦ p = ε, p.head ∈ sdt, p ∈ links(fid, dnode(md, sdt[p.head, tree]))

Rule argument

Additional information

Used simplifier rules: in-plinks: ⊦ p ∈ links(fid, tree) ↔ p ∈ tree ∧ tree[p] = fnode(fid);