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Theorem ls-neg

⊦ r < 0.r → (r * r0 < r * r2 ↔ r2 < r0)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: invmult-ls-neg, le-abs, le-neg, le-same-02, ls-neg-01, ls-negint, ls-same-02, ls-same-03, ple-neg, pls-neg, pnls-neg, pnls-negpos, pnls-posneg, square-le, zero-ls-03,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: minus-left, distr, order, mult-com, mult-ass, ls-forward,
Used spec theorems:
- Used simplifier rules: