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Proof step 2 from proof max-del1 (previous step)

i < max(ints) ⊦ max(ints -1l i) = max(ints)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ i. i < max(ints0) → max(ints0 -1l i) = max(ints0), i < max(i0 + ints0) ⊦ max((i0 + ints0) -1l i) = max(i0 + ints0)

Rule argument

indvar: ints

Additional information

Used simplifier rules: max-empty: ⊦ max([]) = 0;%intlist freely generated by [], +;;%del1-e: ⊦ [] -1l i = []; from specification list-del[intlista]