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Theorem mult-def-01

gcd(i1, j1) = 1, gcd(i2, j2) = 1, 0 < j1, 0 < j2 ⊦ rational(i1, j1) * rational(i2, j2) = rational(i1 * i2, j1 * j2)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 1
Used lemmas: denom-id, num-id, mult-def,
Used spec theorems:
- Used simplifier rules:
  - int-mult/commutativity