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Theorem fac-add

⊦ 0 ≤ i ∧ 0 ≤ j → fac(i + j) = fac(i) * Π countFun(1, j, λ j0. i + j0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 11
Used lemmas: fac-zero, fac-rec, fac-zero-02,
Used spec theorems:
- intlist/countFun-base
- intlist/countFun-last
Used simplifier rules: