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Proof step 8 from proof Del-rec-same (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information