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Proof step 1 from proof less-append (conclusion)

⊦ str < str + str0 ↔ str0 ≠ ""

User applied rule case distinction

And obtained the following new goals

Proof step 2:
str < str + str0 ⊦ str0 ≠ ""
Proof step 5:
str0 ≠ "" ⊦ str < str + str0

Rule argument

pos: right 1

Additional information