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Theorem le-same

⊦ 0.r < r → (r * r0 ≤ r ↔ r0 ≤ 1.r)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: abs-ls-one-multiple, le-same-04, le-same-05, le-same-06, mult-gt-one,
Used by units in proved state: real-limit,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 6
Used lemmas: mult-com, mult-ass, mult-one, le-pos,
Used spec theorems:
- Used simplifier rules:
  - real-abs/le-def
  - real-abs/lenls