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Theorem ls-pos

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

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: est-nle, invmult-ls-pos, le-abs, le-pos, ls-pos-01, ls-pos-02, ls-posint, ls-same, ls-same-01, mult-gt-both, ple-pos, ple-pos-better, pls-pos, pls-pos-01, pls-pos-02, pnle-pos, pnls-negpos, pnls-pos, pnls-posneg, square-le, zero-ge-add-02, zero-gr, zero-ls,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 4
Used lemmas: mult-com, mult-ass, ls-forward, minus-left, distr, order,
Used spec theorems:
- Used simplifier rules: