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Proof step 2 from proof sum-in-not-ls (previous step)

j ∈ ints, Σ ints < j, ∀ i. i ∈ ints → 0 ≤ i ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ j. ¬(j ∈ ints0 ∧ Σ ints0 < j ∧ (∀ i. i ∈ ints0 → 0 ≤ i)), j ∈ i + ints0, Σ(i + ints0) < j, ∀ i0. i0 ∈ i + ints0 → 0 ≤ i0 ⊦

Rule argument

indvar: ints

Additional information

Used simplifier rules: intlist freely generated by [], +;;%in-empty: ⊦ ¬ i ∈ []; from specification list[intlista]