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Theorem abs-ls-02

⊦ r0 ≤ r2 ∧ r2 ≤ r → abs(r2 + ~ r0) ≤ abs(r + ~ r0)

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

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Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 3
Used lemmas: sub-def, abssub-02, abs-06, Abs-pos, le-def,
Used spec theorems:
- Used simplifier rules: