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Theorem div-eq-same

⊦ 0 ≠ j → (j * i / j = i ↔ i % j = 0)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas: div-elim-pospos, div-elim-posneg, div-elim-negpos, div-elim-negneg, mult-div-switch,
Used spec theorems:
- Used simplifier rules: