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Theorem fac-divides

⊦ i ≤ j ∧ 0 ≤ i → fac(j - i) * fac(i) | fac(j)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by: coef-eq-zero, coef-mult-rec, coef-mult-rec-lower, coef-sub-mult, middle-coef-divides-not, middle-coef-max_exp, middle-coef-max_exp-equality, prime-divides-coef,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: fac-zero, coef-fac-divides,
Used spec theorems:
- Used simplifier rules: