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Theorem zero-neq-01

⊦ 0.r < r → (r * r0 = 0.r ↔ r0 = 0.r)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas: minus-left, order, mult-com, mult-ass, mult-zero,
Used spec theorems:
- real-abs/lels
- real-abs/antr
Used simplifier rules: