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Proof step 2 from proof max-com (previous step)

⊦ x + x0 = [], max(x + x0) = max(x0 + x)

User applied rule induction

And obtained the following new goals

Proof step 3:
true, ∀ x1, x2. # x1 + # x2 < # x + # x0 → true → x1 + x2 = [] ∨ max(x1 + x2) = max(x2 + x1) ⊦ x + x0 = [] ∨ max(x + x0) = max(x0 + x)

Rule argument

indvar: # x + # x0 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # x + # x0