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Proof step 25 from proof min-concat (previous step)

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

User applied rule constructor cut

And obtained the following new goals

Proof step 14:
x1 = [], ∀ x0, y0. # x0 + # y0 < # (i + x1) + # y → (true → x0 = [] ∨ y0 = [] ∨ min(x0 + y0) = min(min(x0), min(y0))) ⊦ y = [], min((i ' + x1) + y) = min(min(y), min(i ' + x1))
Proof step 24:
x1 = i0 + x, ∀ x0, y0. # x0 + # y0 < # (i + x1) + # y → (true → x0 = [] ∨ y0 = [] ∨ min(x0 + y0) = min(min(x0), min(y0))) ⊦ y = [], min((i ' + x1) + y) = min(min(y), min(i ' + x1))

Rule argument

[var-arg: x1]

Additional information

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