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Theorem factor-rat-03

⊦ 0 < j ∧ 0 < i1 → rational(i1 * i, i1 * j) = rational(i, j)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: numerator-pos, denominator-zero, numerator-zero, denominator-pos, Equality,
Used spec theorems:
- Used simplifier rules: