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Theorem ls-same

⊦ 0 < i → (i * j < i ↔ j < 1)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: abs-ls-same, le-one, ls-same-04, ls-same-05, mods-nls, square-le-01, square-le-02, zero-ge-add-02,
Used by units in proved state: int-gcd, int-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: commutativity, associativity, one, ls-pos,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-05
  - int-abs/lsone