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Theorem le-neg

⊦ i < 0 → (i * j ≤ i * i0 ↔ i0 ≤ j)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: le-neg-01, le-same-02, le-same-03, numle-11, zero-le-01,
Used by units in proved state: int-gcd,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas: commutativity, associativity, ls-neg,
Used spec theorems:
- int-abs/lels-01
Used simplifier rules: