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Theorem coprime-mod-zero

⊦ i0 % j ≠ 0 ∧ gcd(i, j) = 1 ∧ j ≠ 0 → (i * i0) % j ≠ 0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 6
Used lemmas: divides-mod, gcd-com, coprime-divides-01,
Used spec theorems:
- Used simplifier rules: