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Proof step 10 from proof max-concat (previous step)

x1 = [], ∀ 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))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ max(i ') = i
Proof step 9:
∀ x0, y0. # x0 + # y0 < # (i + []) + # y → (true → x0 = [] ∨ y0 = [] ∨ max(x0 + y0) = max(max(x0), max(y0))) ⊦ y = [], max(i ' + y) = max(i, max(y))

Rule argument

[emptyarg]

Additional information

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