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Theorem gcdex

⊦ ∃ i0, j0. gcd(i, j) = i * i0 + j * j0

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment: called Bezout's identity.
Used by: coprime-divides-01, gcd-conq-one, gcd-conq-one-01, gcdex-pos,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 18
Proof steps: 20
Used lemmas: gcd-com, gcd-neg, gcdhex, gcd-abs-rew-02,
Used spec theorems:
- Used simplifier rules: