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Theorem modmod-mult-08

0 < j ⊦ 0 ≤ i ∧ 0 ≤ i0 → (i % j * i0) % j = (i * i0) % j

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: modmod-mult-07,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: mod-shift,
Used spec theorems:
- Used simplifier rules:
  - int-mult/commutativity
  - int-mult/associativity