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Proof step 1 from proof four-square-le-zero (conclusion)

⊦ i ^2 + i0 ^2 + i1 ^2 + i2 ^2 ≤ 0 ↔ i = 0 ∧ i0 = 0 ∧ i1 = 0 ∧ i2 = 0

User applied rule case distinction

And obtained the following new goals

Proof step 2:
i ^2 + i0 ^2 + i1 ^2 + i2 ^2 ≤ 0 ⊦ i = 0 ∧ i0 = 0 ∧ i1 = 0 ∧ i2 = 0
Proof step 13:
i = 0 ∧ i0 = 0 ∧ i1 = 0 ∧ i2 = 0 ⊦ i ^2 + i0 ^2 + i1 ^2 + i2 ^2 ≤ 0

Rule argument

pos: right 1

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