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Theorem divmult

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-mult-le-01, div2-odd, div2zero, ls-even, ls-even-01, mult-div-switch, two-even,
Used by units in proved state: int-square,
Proof exists?: Yes

View the proof

Infos about the proof

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