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theorem proved term proof

choose_8_4_is_max

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formal statement (Lean)

  24theorem choose_8_4_is_max : ∀ k, k ≤ 8 → Nat.choose 8 k ≤ Nat.choose 8 4 := by

proof body

Term-mode proof.

  25  intro k hk
  26  interval_cases k <;> decide
  27
  28/-- The gap-45 ceiling doubled is 90; 70 fits. -/

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