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Theorem invmult-ls-neg

r < 0.r ⊦ r.^-1 * r1 < r0 ↔ r * r0 < r1

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 5
Proof steps: 6
Used lemmas: ls-neg, mult-ass, mult-com, mult-one, inv-def,
Used spec theorems:
- Used simplifier rules:
  - real-abs/lels
  - real-abs/lels-03