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Theorem zero-ge-03

⊦ i ≤ 0 → (0 ≤ i * j ↔ ¬ ¬(i = 0 ∨ j ≤ 0))

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: zero-ge-add, zero-ge-case,
Used by units in proved state: int-gcd,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: zero-ls-03, commutativity, associativity, zero-ge-01,
Used spec theorems:
- Used simplifier rules: