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Theorem zero-le-02

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

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: square-zero-01,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: zero-gr-02, mult-com, mult-ass, zero-le,
Used spec theorems:
- Used simplifier rules: