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Theorem gcd-divides-both-h

0 ≤ i, i < j, j0 | gcd(i, j) ⊦ j0 | j ∧ j0 | i

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: gcd-divides-both,
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: gcd-same-01, div-zero-01, gcd-com, gcd-zero-04, divides-add, gcd-rec-sub-01,
Used spec theorems:
- int-abs/Abs-pos
Used simplifier rules: