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Theorem four-square-le-zero

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

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 10
Used lemmas: zero-i, zero, Square-def, two-not-neg,
Used spec theorems:
- int-abs/notle-pos
Used simplifier rules: