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Proof step 9 from proof Del-rec-same (previous step)

⊦ (sdt[str, tree] -- str)[str] = (sdt -- str)[str], str ∈ sdt[str, tree] -- str, str ∈ sdt -- 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, tree] -- str] flags: <all paths>

Additional information

Used terms: str, sdt[str, tree] -- str