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Theorem square-le-04

⊦ 0.r ≤ r ∧ 0.r ≤ r0 → (r * (r + 1.r) ≤ r0 * (r0 + 1.r) ↔ r ≤ r0)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: square-interval, square-le-05a,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 7
Proof steps: 10
Used lemmas: square-ls, mult-com, mult-ass, mult-one, distr,
Used spec theorems:
- real-abs/lels
- real-abs/le-def
Used simplifier rules: