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Proof step 6 from proof Del-rec-other (previous step)

⊦ str1 ∈ sdt[str0, tree] -- str ↔ str1 ∈ (sdt -- str)[str0, tree], str = str0

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 7:
⊦ str1 ∈ sdt[str0, tree] -- str ↔ str1 ∈ (sdt -- str)[str0, tree], str = str0, str1 ∈ sdt[str0, tree] -- str

Rule argument

fma: str1 ∈ sdt[str0, tree] -- str

Additional information

Used simplifier rules: ⊦ str ∈ sdt -- str0 ↔ str ≠ str0 ∧ str ∈ sdt; (ws)% ⊦ str ∈ sdt[str0, tree] ↔ str = str0 ∨ str ∈ sdt; (ws) Used formulas: str1 ∈ sdt[str0, tree] -- str