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Theorem mult-div-switch

⊦ j ≠ 0 ∧ i % j = 0 → i / j * j = i

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: div-elim-divides, div-eq-same, div-twoodd-01, nummult-eq, nummult-eq-01,
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: divmult,
Used spec theorems:
- Used simplifier rules:
  - int-mult/commutativity
  - int-mult/associativity