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Theorem gcd-rec

⊦ j ≠ 0 → gcd(i, j) = gcd(abs(j), abs(i) % abs(j))

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: gcd-mult-01, gcd-mult-pos, gcd-rec-pos, gcdhex,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 27
Proof steps: 41
Used lemmas: div-mult, divides-mult-sub, divides, gcd-div2, gcd-div1, gcd-nls-01, gcd-com, gcd-zero-04, gcd-less, gcd-abs-rew-02,
Used spec theorems:
- int-basic1/lst-01
- int-mult/commutativity
Used simplifier rules: