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Theorem zero-le-01

⊦ i < 0 → (i * j ≤ 0 ↔ 0 ≤ j)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp, simp,
Comment:
Used by: abs-eqall, abs-ls-same-01, zero-le-03,
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: 3
Used lemmas: commutativity, associativity, Mult-zero, le-neg,
Used spec theorems:
- Used simplifier rules: