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Theorem eq-nonzero

⊦ r ≠ 0.r → (r * r0 = r * r2 ↔ r0 = r2)

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by: abs-eqall, eq-neg, eq-nonzero-01, eq-nonzero-02, eq-nonzero-03, eq-nonzero-int, eq-pos, eq-same,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas: mult-one, inv-def, mult-com, mult-ass, minus-left, distr,
Used spec theorems:
- Used simplifier rules: