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Theorem gcd-mult-pos

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 16
Proof steps: 30
Used lemmas: gcd-zero-04, gcd-rec, gcd-com,
Used spec theorems:
- int-abs/abs-12
- int-abs/Abs-pos
Used simplifier rules: