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Proof step 6 from proof less-append (previous step)

⊦ str0 = "", str < str + str0

User applied rule structural induction

And obtained the following new goals

Proof step 7:
∀ str0. str0 = "" ∨ str1 < str1 + str0 ⊦ str0 = "", char + str1 < (char + str1) + str0

Rule argument

indvar: str

Additional information

Used simplifier rules: less-empty: ⊦ "" < str ↔ str ≠ "";%string freely generated by "", +;;%Nil: ⊦ "" + str = str; from specification list[string-new]%a: ⊦ (str + str0) + str1 = str + str0 + str1; from specification list[string-new]