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Proof step 33 from proof max-concat (previous step)

x = i + x1, ∀ x0, y0. # x0 + # y0 < # x + # y → (true → x0 = [] ∨ y0 = [] ∨ max(x0 + y0) = max(max(x0), max(y0))) ⊦ max(x + y) = max(max(x), max(y)), y = [], x = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
∀ x0, y0. # x0 + # y0 < # (i + x1) + # y → (true → x0 = [] ∨ y0 = [] ∨ max(x0 + y0) = max(max(x0), max(y0))) ⊦ y = [], max((i ' + x1) + y) = max(max(y), max(i ' + x1))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (x + y) + z = x + y + z], [CSIMPSEQ : ⊦ d ' + x ≠ []], [CSIMPSEQ : ⊦ d + x = d ' + x])]]