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Theorem coef-mult-rec-lower

⊦ 0 < j ∧ j ≤ i → binom_coef(i, j) * j = binom_coef(i, j - 1) * (i + 1 - j)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 19
Proof steps: 28
Used lemmas: fac-zero-02, fac-rec, fac-not-zero, binom-def, fac-divides,
Used spec theorems:
Used simplifier rules: