Description: The product of two nonzero numbers is nonzero. (Contributed by NM, 1-Aug-2004) (Proof shortened by Andrew Salmon, 19-Nov-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | mulne0b |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mul0or | ||
2 | 1 | necon3abid | |
3 | neanior | ||
4 | 2 3 | syl6rbbr |