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Theorem coef-le-zero

⊦ binom_coef(i, j) ≤ 0 ↔ binom_coef(i, j) = 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: bertrand-middle-coef-smaller, coef-product-le, middle-coef-larger,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: coef-nls-zero,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-05
  - oelem/intlista/lel
  - int-abs/lels-01
  - int-abs/lels-02