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Theorem mod-gcd

⊦ i ≠ 0 → i % gcd(i, j) = 0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: gcd-div-eq, mod-gcd-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas: divides, gcd-div1,
Used spec theorems:
- int-div/nummult-eq
Used simplifier rules: