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Theorem coef-rec
⊦ j ≤ i ∧ 0 < j → binom_coef(i, j) = (binom_coef(i - 1, j - 1) * i) / j
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: 1
Proof steps: 2
Used lemmas:
coef-zero
,
coef-neg
,
coef-mult-rec
,
Used spec theorems:
Used simplifier rules:
int-abs
/
forward-le-05
int-abs
/
forward-lsle
int-mult
/
commutativity
int-mult
/
Mult-zero
int-mult
/
associativity
int-div
/
div-mult-03