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Proof step 36 from proof max-app (previous step)

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

User applied rule induction

And obtained the following new goals

Proof step 35:
true, ∀ x0, y0. # x0 + # y0 < # x + # y → (true → x0 = [] ∨ y0 = [] ∨ max(x0 + y0) = max(max(x0), max(y0))) ⊦ x = [] ∨ y = [] ∨ max(x + y) = max(max(x), max(y))

Rule argument

[INDHYPARG : [STANDARDINDUCTIONTYPE : ], true, false, # x + # y, [] → [], <]

Additional information

[[CONCRETESIMPRULES : ([CSIMPLESSPRED : <])], [EXTRATERMS : (# x + # y)]]