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Theorem negladd-ls

⊦ r + ~ r0 < r1 ↔ r < r0 + r1

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: neg-08, negadd, sub-ls-02,
Used by units in proved state: real-limit, real-multdiv, real-abs, real-floor-ceil,
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: add-assoc, add-comm, add-zero, sub-eq-01, less-add-cancel-l,
Used spec theorems:
- Used simplifier rules: