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Theorem zero-ls-03

⊦ r ≤ 0.r → (r * r0 < 0.r ↔ 0.r < r0 ∧ r ≠ 0.r)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: zero-ge-03, zero-ls-01, zero-ls-case,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: mult-com, mult-ass, mult-zero, ls-neg,
Used spec theorems:
- Used simplifier rules: