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Proof step 26 from proof min-concat (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 25:
∀ 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

[emptyarg]

Additional information

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