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Proof step 30 from proof max-app (previous step)

∀ x0, y0. # x0 + # y0 < # (i + i0 + x) + # y → (true → x0 = [] ∨ y0 = [] ∨ max(x0 + y0) = max(max(x0), max(y0))) ⊦ y = [], max(max(i, i0), max(min(i, i0) ' + x + y)) = max(max(max(i, i0), max(min(i, i0) ' + x)), max(y))

User applied rule constructor cut

And obtained the following new goals

Proof step 15:
x = [], ∀ x0, y0. # x0 + # y0 < # (i + i0 + x) + # y → (true → x0 = [] ∨ y0 = [] ∨ max(x0 + y0) = max(max(x0), max(y0))) ⊦ y = [], max(max(i, i0), max(min(i, i0) ' + x + y)) = max(max(max(i, i0), max(min(i, i0) ' + x)), max(y))
Proof step 29:
x = i1 + x2, ∀ x0, y0. # x0 + # y0 < # (i + i0 + x) + # y → (true → x0 = [] ∨ y0 = [] ∨ max(x0 + y0) = max(max(x0), max(y0))) ⊦ y = [], max(max(i, i0), max(min(i, i0) ' + x + y)) = max(max(max(i, i0), max(min(i, i0) ' + x)), max(y))

Rule argument

[var-arg: x]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : list generated by [], +;])]]