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Theorem zero-gr-02

⊦ 0 ≤ i → (0 < i * j ↔ ¬ ¬(0 < j ∧ i ≠ 0))

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: short-mult-max, zero-gr-03, zero-le-02,
Used by units in proved state: int-div,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: zero-gr, commutativity, associativity, zero-left,
Used spec theorems:
- Used simplifier rules: