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Theorem nummult-modle

0 < i, i < j, j % i = 0 ⊦ (* i) * i0 ≤ (* j) * j0 ↔ i0 ≤ j / i * j0

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: div-elim,
Used spec theorems:
- Used simplifier rules: