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Proof step 22 from proof plinksd+ (previous step)

p ∈ links(fid, dnode(md, sdt)) ⊦ p ∈ links(fid, dnode(md, sdt[str, tree])), str ∈ sdt

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
⊦ p ∈ links(fid, tree) ↔ p ∈ tree ∧ tree[p] = fnode(fid)
Proof step 24:
dnode(md, sdt)[p] = fnode(fid), p ∈ dnode(md, sdt) ⊦ str ∈ sdt, p ∈ links(fid, dnode(md, sdt[str, tree]))

Rule argument

Additional information

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