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Theorem gcdhex

0 ≤ i, 0 ≤ j, j ≤ i ⊦ ∃ i0, j0. gcd(i, j) = i * i0 + j * j0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 14
Proof steps: 23
Used lemmas: gcd-zero-03, gcd-same-01, gcd-rec, gcd-zero-04,
Used spec theorems:
Used simplifier rules: