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Proof step 15 from proof plinksd+ (previous step)

sdt[str, tree][str0][p0] = fnode(fid), str0 ∈ sdt[str, tree], p0 ∈ sdt[str, tree][str0] ⊦ str ∈ sdt, str0 ' + p0 ∈ links(fid, dnode(md, sdt)), p0 ∈ links(fid, tree) ∧ str0 = str

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: store, inst: directory-tree-inst name: At-other seq: ⊦ str ≠ str0 → sdt[str0, tree][str] = sdt[str] subst: [str, tree, str0, sdt] → [str0, tree, str, sdt] flags: <all paths>

Additional information

Used simplifier rules: in-plinks: ⊦ p ∈ links(fid, tree) ↔ p ∈ tree ∧ tree[p] = fnode(fid);% ⊦ sdt[str, tree][str] = tree; (s)% ⊦ str ∈ sdt[str0, tree] ↔ str = str0 ∨ str ∈ sdt; (ws) Used terms: str0, tree, str, sdt