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Proof step 2 from proof val-total (previous step)

⊦ str = str2, str < str2, str2 < str

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ str2. str0 = str2 ∨ str0 < str2 ∨ str2 < str0 ⊦ char + str0 = str2, char + str0 < str2, str2 < char + str0

Rule argument

indvar: str

Additional information

Used simplifier rules: less-empty: ⊦ "" < str ↔ str ≠ "";%string freely generated by "", +;;