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Theorem product-app

⊦ Π(ints + ints0) = Π ints * Π ints0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: all_prime_divisors-product, product-del1-02, product-divide, product-last, product-mult, product-negative, product-perm-equal, product-positive, product-prime-divides, product-zero,
Used by units in proved state: int-fac,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: prod-rec, prod-empty,
Used spec theorems:
- Used simplifier rules:
  - list/intlista/Nil
  - int-mult/one
  - int-mult/eq-nonzero
  - int-mult/commutativity
  - int-mult/neq-not-zero
  - int-mult/associativity
  - list/intlista/a
  - list/intlista/c