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Proof step 3 from proof val-total (previous step)

⊦ str = str2, str2 < str, str < str2

User applied rule structural induction

And obtained the following new goals

Proof step 4:
∀ str2. str0 = str2 ∨ str2 < str0 ∨ str0 < str2 ⊦ char + str0 = str2, char + str0 < str2, str2 < char + str0

Rule argument

indvar: str

Additional information

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