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Proof step 15 from proof Del-rec-other (previous step)

⊦ (∅)[str] = (sdt -- str)[str], str = str0, str ∈ sdt[str0, tree] -- str

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: read-notin seq: ⊦ ¬ str ∈ sdt → sdt[str] = (∅)[str] subst: [str, sdt] → [str, sdt -- str] flags: <all paths>

Additional information

Used simplifier rules: ⊦ str ∈ sdt -- str0 ↔ str ≠ str0 ∧ str ∈ sdt; (ws) Used terms: str, sdt -- str