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Proof step 4 from proof sum-not-ls-zero (previous step)

i + Σ ints0 < 0, ∀ i0. i0 = i ∨ i0 ∈ ints0 → 0 ≤ i0 ⊦ Σ ints0 < 0 ∧ (i0 ∈ ints0 → 0 ≤ i0)

User applied rule case distinction

And obtained the following new goals

Proof step 5:
i + Σ ints0 < 0, ∀ i0. i0 = i ∨ i0 ∈ ints0 → 0 ≤ i0 ⊦ Σ ints0 < 0
Proof step 7:
i + Σ ints0 < 0, ∀ i0. i0 = i ∨ i0 ∈ ints0 → 0 ≤ i0 ⊦ i0 ∈ ints0 → 0 ≤ i0

Rule argument

pos: right 1

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