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Theorem div-mult-num

j ≠ 0, j0 % j = 0 ⊦ (i * (* j0)) / (* j) = i * j0 / j

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: div2-add-neg,
Used by units in proved state: int-square,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: div-mult-03, modex,
Used spec theorems:
- Used simplifier rules:
  - int-mult/associativity
  - int-mult/commutativity