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Theorem zero-le

⊦ 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: square-le, square-lez-01, twice-le-zero, zero-gr-case, zero-le-01, zero-le-02, zero-le-case,
Used by units in proved state: real-limit,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: mult-com, mult-ass, mult-zero, le-pos,
Used spec theorems:
- Used simplifier rules: