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Proof step 12 from proof max-del1-01 (previous step)

ints0 -1l i ≠ [], i0 < max(i0, max(ints0 -1l i)), max(ints0) < max(i0, max(ints0 -1l i)), ∀ i1. max(ints0) < max(ints0 -1l i1) → ints0 = i1 ' ∧ i1 < 0 ⊦ i = i0, i0 ' + ints0 = i ', ints0 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
i0 < max(i0, max(ints0 -1l i)), max(ints0) < max(i0, max(ints0 -1l i)), ∀ i1. max(ints0) < max(ints0 -1l i1) → ints0 = i1 ' ∧ i1 < 0 ⊦ i = i0, i0 ' + ints0 = i ', ints0 = [], ints0 = i '

Rule argument

Additional information

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