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Theorem num-div-denom-01

⊦ i1 ≠ 0 ∧ j ≠ 0 → (rational(i, i1).num * j) / rational(i, i1).denom = (i * j) / i1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas: numerator-neg2, numerator-neg1, denominator-pos, denominator-zero, numerator-zero, numerator-pos,
Used spec theorems:
- int-div/div-div-switch
Used simplifier rules: