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Theorem coef-rec-add-01

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

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: coef-rec-add-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 25
Used lemmas: fac-one, fac-not-zero, fac-rec, coef-fac-divides, fac-pos-01, fac-le-zero, fac-not-neg, coef-eq-zero, fac-zero-02, fac-zero, binom-def,
Used spec theorems:
Used simplifier rules: