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Theorem mult-def-03

⊦ j1 ≠ 0 ∧ j2 ≠ 0 → rational(i1, j1) * rational(i2, j2) = rational(i1 * i2, j1 * j2)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: distributivity, mult-ass, mult-one, root-is-irrational,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 10
Proof steps: 15
Used lemmas: neg-neg, denom-neg, mult-def-02,
Used spec theorems:
- Used simplifier rules: