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Theorem zero-gr-02

⊦ 0.r ≤ r → (0.r < r * r0 ↔ 0.r < r0 ∧ r ≠ 0.r)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: mods-zero-07, square-le, zero-gr-03, zero-le-02,
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: mult-com, mult-ass, zero-gr, mult-zero,
Used spec theorems:
- Used simplifier rules: