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Theorem mod-by6

⊦ (n * (n + 1) * (2 * n + 1)) % 6 = 0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 12
Proof steps: 23
Used lemmas: mod-mult-01, mod-add, modex, mod-once,
Used spec theorems:
- nat-mult/dist
Used simplifier rules: