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Theorem mult-ls

⊦ 0 < j ∧ i / j < i0 → i < i0 * j

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: div-le-modzero, div-ls-pos-better, num-ls, nummult-ls-02, nummult-ls-02-01,
Used by units in proved state: intnat,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 10
Used lemmas: div-elim-pos, div-elim2,
Used spec theorems:
- int-mult/modlep-01
Used simplifier rules: