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Theorem zero-le-03

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

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: twice-le-zero,
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-03, mult-com, mult-ass, zero-le-01,
Used spec theorems:
- Used simplifier rules: