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Theorem div-ls-modzero

⊦ i % j = 0 ∧ 0 ≤ i ∧ 0 < j → (i0 < i / j ↔ i0 * j < i)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: div-le-modzero-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: div-mult-03, modex, mult-ls-01,
Used spec theorems:
- Used simplifier rules: