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Proof step 13 from proof plinksd+ (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

spec: list-data, inst: path name: elim-list-c seq: p ≠ ε ⊦ str = p.head ∧ p0 = p.tail ↔ p = str + p0 subst: [p, str, p0] → [p, str0, p0]

Additional information

Used simplifier rules: p ≠ ε ⊦ str = p.head ∧ p0 = p.tail ↔ p = str + p0; (elim) Used terms: p, str0, p0