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Proof step 2 from proof max-del1-01 (previous step)

max(ints) < max(ints -1l i) ⊦ ints = [], ints = i ' ∧ i < 0

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ i. max(ints0) < max(ints0 -1l i) → ints0 = [] ∨ ints0 = i ' ∧ i < 0, max(i0 + ints0) < max((i0 + ints0) -1l i) ⊦ i0 + ints0 = [], i0 + ints0 = i ' ∧ i < 0

Rule argument

indvar: ints

Additional information

Used simplifier rules: intlist freely generated by [], +;;