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Proof step 18 from proof max-del1 (previous step)

ints0 ≠ [], i < max(i0, max(ints0)), ∀ i. i < max(ints0) → max(ints0 -1l i) = max(ints0) ⊦ ints0 -1l i = [], max(i0, max(ints0 -1l i)) = max(i0, max(ints0)), i = i0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
i < max(i0, max(ints0)), ∀ i. i < max(ints0) → max(ints0 -1l i) = max(ints0) ⊦ max(i0, max(ints0 -1l i)) = max(i0, max(ints0)), i = i0, ints0 = [], ints0 = i '

Rule argument

Additional information

Used simplifier rules: del1-empty: ⊦ ints ≠ [] → (ints -1l i = [] ↔ ints = i '); from specification list-del[intlista]