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Theorem mod-mult-02

0 ≠ j, i0 ≠ 0 ⊦ (i0 * i) % (i0 * j) = i % j * i0

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: mod-mult-01, mod-mult-03, modmod-pos,
Used by units in proved state: int-pot, int-gcd,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: divmod-rew, div-mult-01, mod-rew,
Used spec theorems:
- Used simplifier rules: