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Theorem nummult-modls-01

0 < j, j < i, i % j = 0 ⊦ (* i) * i0 < (* j) * j0 ↔ i / j * i0 < 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: 1
Proof steps: 3
Used lemmas: div-mult-03, modex,
Used spec theorems:
- Used simplifier rules: