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Theorem abs-le-one-multiple

⊦ abs(r) ≤ r0 * abs(r) ↔ 1.r ≤ r0 ∨ r = 0.r

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas: ls-same, ls-same-03, mult-zero, le-same-01, mult-com, mult-ass, le-same-02, minus-left, abs-ite,
Used spec theorems:
- Used simplifier rules: